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Differential geometry : proceedings of the international symposium held at Peniscola, Spain, October 3-10 1982 / / edited by A. M. Naveira
| Differential geometry : proceedings of the international symposium held at Peniscola, Spain, October 3-10 1982 / / edited by A. M. Naveira |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1984] |
| Descrizione fisica | 1 online resource (VIII, 196 p.) |
| Disciplina | 516.36 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Geometry, Differential |
| ISBN | 3-540-38766-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Pseudodifferential operators and characteristic classes for non-abelian cohomology -- Euclidean Yang-Mills flows in the orbit space -- Congruence, contact et repères de Frenet -- Killing vector fields and complex structures -- Derivations in the tangent bundle -- Some examples of deformations of transversely holomorphic foliations -- Sur certaines expressions globales d’une forme de contact -- Connexions singulieres et classe de Maslov -- Sur la cohomologie des systèmes d’équations différentielles et des pseudogroupes de lie -- Energies et geometrie integrale -- Geometry and cohomologies associated with a contact manifold -- A note on semisimple flat homogeneous spaces -- Some results on diff?(R n) -- Some integral invariants of plane fields on riemannian manifolds -- A Schur-like Lemma for the NK-manifolds of constant type -- Compact Hausdorff foliations -- Nijenhuis tensor field and weakly Kahler manifolds -- Generic embeddings, Gauss maps and stratipications -- Spectral geometry of submanifolds in the complex projective space -- Self-dual and anti-self-dual homogeneous structures. |
| Record Nr. | UNISA-996466523703316 |
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Differential geometry and analysis on CR manifolds / Sorin Dragomir, Giuseppe Tomassini
| Differential geometry and analysis on CR manifolds / Sorin Dragomir, Giuseppe Tomassini |
| Autore | Dragomir, Sorin |
| Pubbl/distr/stampa | Boston ; Basel; Berlin : Birkhäuser, c2006 |
| Descrizione fisica | xiv, 487 p. ; 24 cm |
| Altri autori (Persone) | Tomassini, Giuseppeauthor |
| Collana | Progress in mathematics [Birkhauser], 0743-1643; 246 |
| Soggetto topico |
Geometry, Differential
CR submanifolds Differentiable manifolds |
| ISBN | 0817643885 |
| Classificazione |
AMS 32V
AMS 53C LC QA641.D73 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001933439707536 |
Dragomir, Sorin
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| Boston ; Basel; Berlin : Birkhäuser, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Differential geometry and differential equations : proceedings of a Symposium, held in Shanghi, June 21-July 6, 1985 / / edited by Gu Chaohao, M. Berger and R. L. Bryant
| Differential geometry and differential equations : proceedings of a Symposium, held in Shanghi, June 21-July 6, 1985 / / edited by Gu Chaohao, M. Berger and R. L. Bryant |
| Edizione | [1st ed. 1987.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1987] |
| Descrizione fisica | 1 online resource (XIV, 246 p.) |
| Disciplina | 516.36 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Geometry, Differential |
| ISBN | 3-540-47883-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Minimal lagrangian submanifolds of Kähler-einstein manifolds -- An estimate of the lower bound of levi form and its applications -- A global study of extremal surfaces in 3-dimensional Minkowski space -- Lie transformation groups and differential geometry -- The imbedding problem of Riemannian globally symmetric spaces of the compact type -- A Willmore type problem for S2×S2 -- The integral formula of pontrjagin characteristic forms -- Some stability results of harmonic map from a manifold with boundary -- Ck-bound of curvatures in Yang-Mills theory -- Number theoretic analogues in spectral geometry -- On the gauss map of submanifold in Rn and Sn -- Twistor constructions for harmonic maps -- On two classes of hypersurfaces in a space of constant curvature -- A constructive theory of differential algebraic geometry based on works of J.F. Ritt with particular applications to mechanical theorem-proving of differential geometries -- Remarks on the fundamental group of positively curved manifolds -- Liouville type theorems and regularity of harmonic maps -- On absence of static yang-mills fields with variant mass -- On the infinitesimal parallel displacement -- Harmonic and Killing forms on complete Riemannian manifolds. |
| Record Nr. | UNISA-996466485703316 |
| Berlin : , : Springer-Verlag, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Differential Geometry and General Relativity [[electronic resource] ] : Volume 1 / / by Canbin Liang, Bin Zhou
| Differential Geometry and General Relativity [[electronic resource] ] : Volume 1 / / by Canbin Liang, Bin Zhou |
| Autore | Liang Canbin |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (566 pages) |
| Disciplina | 530.11 |
| Altri autori (Persone) |
ZhouBin
JiaWeizhen |
| Collana | Graduate Texts in Physics |
| Soggetto topico |
Gravitation
Geometry, Differential Mathematical physics Cosmology Classical and Quantum Gravity Differential Geometry Mathematical Methods in Physics |
| ISBN | 981-9900-22-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Topological Spaces in Brief -- Manifolds and Tensor Fields -- The Riemann (Intrinsic) Curvature Tensor -- Lie Derivative, Killing Fields and Hypersurfaces -- Differential Forms and Their Integrals -- Special Relativity -- Foundations of General Relativity -- Solving the Einstein’s Equation -- Schwarzschild Spacetimes -- Cosmology -- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units. |
| Record Nr. | UNINA-9910742493203321 |
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Liang Canbin
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 / / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors
| Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 / / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 516.3/6 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Differential
Hamiltonian systems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7898-0
0-8218-5644-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""The index of an isolated umbilical point on a surface""; ""The Toda equations and equiharmonic maps of surfaces into flag manifolds""; ""p-harmonic morphisms: the 1 < p < 2 case and some non-trivial examples""; ""Schwarzian derivatives and flows of surfaces""; ""Anti-self-dual metrics on Lie groups""; ""Weierstraβ-type representation of timelike surfaces with constant mean curvature""; ""A differential-geometric Schottky problem, and minimal surfaces in tori""; ""Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator""
""Submanifolds associated to Grassmannian systems""""Harmonic cohomology groups of compact symplectic nilmanifolds""; ""Bonnet pairs in the 3-sphere""; ""Subspaces in the category of symmetric spaces""; ""Integral geometry of submanifolds of real dimension two and codimension two in complex projective spaces""; ""Jacobi fields along harmonic maps""; ""Denseness of plain constant mean curvature surfaces in dressing orbits"" |
| Record Nr. | UNINA-9910479981703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 / / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors
| Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 / / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 516.3/6 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Differential
Hamiltonian systems |
| ISBN |
0-8218-7898-0
0-8218-5644-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""The index of an isolated umbilical point on a surface""; ""The Toda equations and equiharmonic maps of surfaces into flag manifolds""; ""p-harmonic morphisms: the 1 < p < 2 case and some non-trivial examples""; ""Schwarzian derivatives and flows of surfaces""; ""Anti-self-dual metrics on Lie groups""; ""Weierstraβ-type representation of timelike surfaces with constant mean curvature""; ""A differential-geometric Schottky problem, and minimal surfaces in tori""; ""Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator""
""Submanifolds associated to Grassmannian systems""""Harmonic cohomology groups of compact symplectic nilmanifolds""; ""Bonnet pairs in the 3-sphere""; ""Subspaces in the category of symmetric spaces""; ""Integral geometry of submanifolds of real dimension two and codimension two in complex projective spaces""; ""Jacobi fields along harmonic maps""; ""Denseness of plain constant mean curvature surfaces in dressing orbits"" |
| Record Nr. | UNINA-9910788663403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 / / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors
| Differential geometry and integrable systems : a conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000 / / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 516.3/6 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry, Differential
Hamiltonian systems |
| ISBN |
0-8218-7898-0
0-8218-5644-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""The index of an isolated umbilical point on a surface""; ""The Toda equations and equiharmonic maps of surfaces into flag manifolds""; ""p-harmonic morphisms: the 1 < p < 2 case and some non-trivial examples""; ""Schwarzian derivatives and flows of surfaces""; ""Anti-self-dual metrics on Lie groups""; ""Weierstraβ-type representation of timelike surfaces with constant mean curvature""; ""A differential-geometric Schottky problem, and minimal surfaces in tori""; ""Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator""
""Submanifolds associated to Grassmannian systems""""Harmonic cohomology groups of compact symplectic nilmanifolds""; ""Bonnet pairs in the 3-sphere""; ""Subspaces in the category of symmetric spaces""; ""Integral geometry of submanifolds of real dimension two and codimension two in complex projective spaces""; ""Jacobi fields along harmonic maps""; ""Denseness of plain constant mean curvature surfaces in dressing orbits"" |
| Record Nr. | UNINA-9910817971303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential geometry and its applications [[electronic resource] /] / John Oprea
| Differential geometry and its applications [[electronic resource] /] / John Oprea |
| Autore | Oprea John |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2007 |
| Descrizione fisica | 1 online resource (501 p.) |
| Disciplina | 516.3/6 |
| Collana | Classroom resource materials |
| Soggetto topico | Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61444-608-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""The Point of this Book""; ""Projects""; ""Prerequisites""; ""Book Features""; ""Elliptic Functions and Maple Note""; ""Thanks""; ""For Users of Previous Editions""; ""Maple 8 to 9""; ""Note to Students""; ""1 The Geometry of Curves""; ""1.1 Introduction""; ""1.2 Arclength Parametrization""; ""1.3 Frenet Formulas""; ""1.4 Non-Unit Speed Curves""; ""1.5 Some Implications of Curvature and Torsion""; ""1.6 Green�s Theorem and the Isoperimetric Inequality""; ""1.7 The Geometry of Curves and Maple""; ""2 Surfaces""
""2.1 Introduction""""Examples of Patches (or Parametrizations) on Surfaces""; ""2.2 The Geometry of Surfaces""; ""2.3 The Linear Algebra of Surfaces""; ""2.4 Normal Curvature""; ""2.5 Surfaces and Maple""; ""3 Curvatures""; ""3.1 Introduction""; ""3.2 Calculating Curvature""; ""3.3 Surfaces of Revolution""; ""3.4 A Formula for Gauss Curvature""; ""3.5 Some Effects of Curvature(s)""; ""3.6 Surfaces of Delaunay""; ""3.7 Elliptic Functions, Maple and Geometry""; ""3.8 Calculating Curvature with Maple""; ""4 Constant Mean Curvature Surfaces""; ""4.1 Introduction"" ""4.2 First Notions in Minimal Surfaces""""4.3 Area Minimization""; ""4.4 Constant Mean Curvature""; ""4.5 Harmonic Functions""; ""4.6 Complex Variables""; ""4.7 Isothermal Coordinates""; ""4.8 The Weierstrass-Enneper Representations""; ""4.9 Maple and Minimal Surfaces""; ""4.9.1 Minimal Surface Plots""; ""4.9.2 The Minimal Surface Equation""; ""4.9.3 A Geometric Condition: Minimal Surfaces of Revolution""; ""4.9.4 An Algebraic Condition""; ""4.9.5 Maple and Area Minimization""; ""4.9.6 Maple and the Weierstrass- Enneper Representation""; ""Special color pages "" ""A geodesic on an ellipsoid""""A closed geodesic on an unduloid""; ""A non-closed geodesic on an unduloid""; ""Catalan�s surface""; ""A perturbed Boy�s surface""; ""Enneper�s surface""; ""A helicoid""; ""Henneberg�s surface""; ""A planar lines of curvature surface""; ""A twisted cylinder""; ""Scherk�s fifth surface""; ""Another view of the Bat""; ""5 Geodesics, Metrics and Isometries""; ""5.1 Introduction""; ""5.2 The Geodesic Equations and the Clairaut Relation""; ""5.3 A Brief Digression on Completeness""; ""5.4 Surfaces not in R^3""; ""5.5 Isometries and Conformal Maps"" ""5.6 Geodesics and Maple""""5.6.1 Plotting Geodesics""; ""5.6.2 Geodesics on the Cone""; ""5.6.3 Geodesics on the Cylinder""; ""5.6.4 Geodesics on the Unduloid""; ""5.6.5 Geodesics on Surfaces not in R^3""; ""5.6.6 Stereographic and Mercator Projections""; ""5.7 An Industrial Application""; ""6 Holonomy and the Gauss-Bonnet Theorem""; ""6.1 Introduction""; ""6.2 The Covariant Derivative Revisited""; ""6.3 Parallel Vector Fields and Holonomy""; ""6.4 Foucault�s Pendulum""; ""6.5 The Angle Excess Theorem""; ""6.6 The Gauss-Bonnet Theorem""; ""6.7 Applications of Gauss-Bonnet"" ""6.8 Geodesic Polar Coordinates"" |
| Record Nr. | UNINA-9910462347003321 |
|
Oprea John
|
||
| Washington, D.C., : Mathematical Association of America, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry and its applications [[electronic resource] /] / John Oprea
| Differential geometry and its applications [[electronic resource] /] / John Oprea |
| Autore | Oprea John |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2007 |
| Descrizione fisica | 1 online resource (501 p.) |
| Disciplina | 516.3/6 |
| Collana | Classroom resource materials |
| Soggetto topico | Geometry, Differential |
| ISBN | 1-61444-608-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""The Point of this Book""; ""Projects""; ""Prerequisites""; ""Book Features""; ""Elliptic Functions and Maple Note""; ""Thanks""; ""For Users of Previous Editions""; ""Maple 8 to 9""; ""Note to Students""; ""1 The Geometry of Curves""; ""1.1 Introduction""; ""1.2 Arclength Parametrization""; ""1.3 Frenet Formulas""; ""1.4 Non-Unit Speed Curves""; ""1.5 Some Implications of Curvature and Torsion""; ""1.6 Green�s Theorem and the Isoperimetric Inequality""; ""1.7 The Geometry of Curves and Maple""; ""2 Surfaces""
""2.1 Introduction""""Examples of Patches (or Parametrizations) on Surfaces""; ""2.2 The Geometry of Surfaces""; ""2.3 The Linear Algebra of Surfaces""; ""2.4 Normal Curvature""; ""2.5 Surfaces and Maple""; ""3 Curvatures""; ""3.1 Introduction""; ""3.2 Calculating Curvature""; ""3.3 Surfaces of Revolution""; ""3.4 A Formula for Gauss Curvature""; ""3.5 Some Effects of Curvature(s)""; ""3.6 Surfaces of Delaunay""; ""3.7 Elliptic Functions, Maple and Geometry""; ""3.8 Calculating Curvature with Maple""; ""4 Constant Mean Curvature Surfaces""; ""4.1 Introduction"" ""4.2 First Notions in Minimal Surfaces""""4.3 Area Minimization""; ""4.4 Constant Mean Curvature""; ""4.5 Harmonic Functions""; ""4.6 Complex Variables""; ""4.7 Isothermal Coordinates""; ""4.8 The Weierstrass-Enneper Representations""; ""4.9 Maple and Minimal Surfaces""; ""4.9.1 Minimal Surface Plots""; ""4.9.2 The Minimal Surface Equation""; ""4.9.3 A Geometric Condition: Minimal Surfaces of Revolution""; ""4.9.4 An Algebraic Condition""; ""4.9.5 Maple and Area Minimization""; ""4.9.6 Maple and the Weierstrass- Enneper Representation""; ""Special color pages "" ""A geodesic on an ellipsoid""""A closed geodesic on an unduloid""; ""A non-closed geodesic on an unduloid""; ""Catalan�s surface""; ""A perturbed Boy�s surface""; ""Enneper�s surface""; ""A helicoid""; ""Henneberg�s surface""; ""A planar lines of curvature surface""; ""A twisted cylinder""; ""Scherk�s fifth surface""; ""Another view of the Bat""; ""5 Geodesics, Metrics and Isometries""; ""5.1 Introduction""; ""5.2 The Geodesic Equations and the Clairaut Relation""; ""5.3 A Brief Digression on Completeness""; ""5.4 Surfaces not in R^3""; ""5.5 Isometries and Conformal Maps"" ""5.6 Geodesics and Maple""""5.6.1 Plotting Geodesics""; ""5.6.2 Geodesics on the Cone""; ""5.6.3 Geodesics on the Cylinder""; ""5.6.4 Geodesics on the Unduloid""; ""5.6.5 Geodesics on Surfaces not in R^3""; ""5.6.6 Stereographic and Mercator Projections""; ""5.7 An Industrial Application""; ""6 Holonomy and the Gauss-Bonnet Theorem""; ""6.1 Introduction""; ""6.2 The Covariant Derivative Revisited""; ""6.3 Parallel Vector Fields and Holonomy""; ""6.4 Foucault�s Pendulum""; ""6.5 The Angle Excess Theorem""; ""6.6 The Gauss-Bonnet Theorem""; ""6.7 Applications of Gauss-Bonnet"" ""6.8 Geodesic Polar Coordinates"" |
| Record Nr. | UNINA-9910785724203321 |
|
Oprea John
|
||
| Washington, D.C., : Mathematical Association of America, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry and its applications [[electronic resource] /] / John Oprea
| Differential geometry and its applications [[electronic resource] /] / John Oprea |
| Autore | Oprea John |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2007 |
| Descrizione fisica | 1 online resource (501 p.) |
| Disciplina | 516.3/6 |
| Collana | Classroom resource materials |
| Soggetto topico | Geometry, Differential |
| ISBN | 1-61444-608-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""The Point of this Book""; ""Projects""; ""Prerequisites""; ""Book Features""; ""Elliptic Functions and Maple Note""; ""Thanks""; ""For Users of Previous Editions""; ""Maple 8 to 9""; ""Note to Students""; ""1 The Geometry of Curves""; ""1.1 Introduction""; ""1.2 Arclength Parametrization""; ""1.3 Frenet Formulas""; ""1.4 Non-Unit Speed Curves""; ""1.5 Some Implications of Curvature and Torsion""; ""1.6 Green�s Theorem and the Isoperimetric Inequality""; ""1.7 The Geometry of Curves and Maple""; ""2 Surfaces""
""2.1 Introduction""""Examples of Patches (or Parametrizations) on Surfaces""; ""2.2 The Geometry of Surfaces""; ""2.3 The Linear Algebra of Surfaces""; ""2.4 Normal Curvature""; ""2.5 Surfaces and Maple""; ""3 Curvatures""; ""3.1 Introduction""; ""3.2 Calculating Curvature""; ""3.3 Surfaces of Revolution""; ""3.4 A Formula for Gauss Curvature""; ""3.5 Some Effects of Curvature(s)""; ""3.6 Surfaces of Delaunay""; ""3.7 Elliptic Functions, Maple and Geometry""; ""3.8 Calculating Curvature with Maple""; ""4 Constant Mean Curvature Surfaces""; ""4.1 Introduction"" ""4.2 First Notions in Minimal Surfaces""""4.3 Area Minimization""; ""4.4 Constant Mean Curvature""; ""4.5 Harmonic Functions""; ""4.6 Complex Variables""; ""4.7 Isothermal Coordinates""; ""4.8 The Weierstrass-Enneper Representations""; ""4.9 Maple and Minimal Surfaces""; ""4.9.1 Minimal Surface Plots""; ""4.9.2 The Minimal Surface Equation""; ""4.9.3 A Geometric Condition: Minimal Surfaces of Revolution""; ""4.9.4 An Algebraic Condition""; ""4.9.5 Maple and Area Minimization""; ""4.9.6 Maple and the Weierstrass- Enneper Representation""; ""Special color pages "" ""A geodesic on an ellipsoid""""A closed geodesic on an unduloid""; ""A non-closed geodesic on an unduloid""; ""Catalan�s surface""; ""A perturbed Boy�s surface""; ""Enneper�s surface""; ""A helicoid""; ""Henneberg�s surface""; ""A planar lines of curvature surface""; ""A twisted cylinder""; ""Scherk�s fifth surface""; ""Another view of the Bat""; ""5 Geodesics, Metrics and Isometries""; ""5.1 Introduction""; ""5.2 The Geodesic Equations and the Clairaut Relation""; ""5.3 A Brief Digression on Completeness""; ""5.4 Surfaces not in R^3""; ""5.5 Isometries and Conformal Maps"" ""5.6 Geodesics and Maple""""5.6.1 Plotting Geodesics""; ""5.6.2 Geodesics on the Cone""; ""5.6.3 Geodesics on the Cylinder""; ""5.6.4 Geodesics on the Unduloid""; ""5.6.5 Geodesics on Surfaces not in R^3""; ""5.6.6 Stereographic and Mercator Projections""; ""5.7 An Industrial Application""; ""6 Holonomy and the Gauss-Bonnet Theorem""; ""6.1 Introduction""; ""6.2 The Covariant Derivative Revisited""; ""6.3 Parallel Vector Fields and Holonomy""; ""6.4 Foucault�s Pendulum""; ""6.5 The Angle Excess Theorem""; ""6.6 The Gauss-Bonnet Theorem""; ""6.7 Applications of Gauss-Bonnet"" ""6.8 Geodesic Polar Coordinates"" |
| Record Nr. | UNINA-9910824020003321 |
|
Oprea John
|
||
| Washington, D.C., : Mathematical Association of America, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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