Differentiable Manifolds [[electronic resource] ] : A Theoretical Physics Approach / / by Gerardo F. Torres del Castillo |
Autore | Torres del Castillo Gerardo F |
Edizione | [2nd ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
Descrizione fisica | 1 online resource (447 pages) |
Disciplina | 516.36 |
Soggetto topico |
Differential geometry
Physics Topological groups Lie groups Mechanics Differential Geometry Mathematical Methods in Physics Topological Groups, Lie Groups Classical Mechanics |
ISBN | 3-030-45193-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Manifolds -- 2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- Solutions -- References -- Index. |
Record Nr. | UNISA-996418198203316 |
Torres del Castillo Gerardo F | ||
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Differential and Complex Geometry: Origins, Abstractions and Embeddings [[electronic resource] /] / by Raymond O. Wells, Jr |
Autore | Wells Jr., Raymond O |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (319 pages) : illustrations (some color) |
Disciplina | 516.36 |
Soggetto topico |
Differential geometry
Global analysis (Mathematics) Manifolds (Mathematics) Functions of complex variables Projective geometry Algebraic topology Differential Geometry Global Analysis and Analysis on Manifolds Several Complex Variables and Analytic Spaces Projective Geometry Algebraic Topology |
ISBN | 3-319-58184-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Part I. Geometry in the Age of Enlightenment -- Algebraic Geometry -- Differential Geometry -- Part II. Differential and Projective Geometry in the Nineteenth Century -- Projective Geometry -- Gauss and Intrinsic Differential Geometry -- Riemann's Higher-Dimensional Geometry -- Part III. Origins of Complex Geometry -- The Complex Plane -- Elliptic and Abelian Integrals -- Elliptic Functions -- Complex Analysis -- Riemann Surfaces -- Complex Geometry at the End of the Nineteenth Century -- Part IV. Twentieth-Century Embedding Theorems -- Differentiable Manifolds -- Riemannian Manifolds -- Compact Complex Manifolds -- Noncompact Complex Manifolds. |
Record Nr. | UNINA-9910254300303321 |
Wells Jr., Raymond O | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang |
Autore | Lang Serge |
Edizione | [3rd ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XIV, 364 p.) |
Disciplina | 516.36 |
Collana | Graduate Texts in Mathematics |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Algebraic topology Differential Geometry Analysis Algebraic Topology |
ISBN | 1-4612-4182-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | I Differential Calculus -- §1. Categories -- §2. Topological Vector Spaces -- §3. Derivatives and Composition of Maps -- §4. Integration and Taylor’s Formula -- §5. The Inverse Mapping Theorem -- II Manifolds -- §1. Atlases, Charts, Morphisms -- §2. Submanifolds, Immersions, Submersions -- §3. Partitions of Unity -- §4. Manifolds with Boundary -- III Vector Bundles -- §1. Definition, Pull Backs -- §2. The Tangent Bundle -- §3. Exact Sequences of Bundles -- §4. Operations on Vector Bundles -- §5. Splitting of Vector Bundles -- IV Vector Fields and Differential Equations -- §1. Existence Theorem for Differential Equations -- §2. Vector Fields, Curves, and Flows -- §3. Sprays -- §4. The Flow of a Spray and the Exponential Map -- §5. Existence of Tubular Neighborhoods -- §6. Uniqueness of Tubular Neighborhoods -- V Operations on Vector Fields and Differential Forms -- §1. Vector Fields, Differential Operators, Brackets -- §2. Lie Derivative -- $3. Exterior Derivative -- §4. The Poincaré Lemma -- §5. Contractions and Lie Derivative -- §6. Vector Fields and 1-Forms Under Self Duality -- §7. The Canonical 2-Form -- §8. Darboux’s Theorem -- VI The Theorem of Frobenius -- §1. Statement of the Theorem -- §2. Differential Equations Depending on a Parameter -- §3. Proof of the Theorem -- §4. The Global Formulation -- §5. Lie Groups and Subgroups -- VII Metrics -- §1. Definition and Functoriality -- §2. The Hilbert Group -- §3. Reduction to the Hilbert Group -- §4. Hilbertian Tubular Neighborhoods -- §5. The Morse—Palais Lemma -- §6. The Riemannian Distance -- §7. The Canonical Spray -- VIII Covariant Derivatives and Geodesics -- §1. Basic Properties -- §2. Sprays and Covariant Derivatives -- §3. Derivative Along a Curve and Parallelism -- §4. The Metric Derivative -- §5. More Local Results on the Exponential Map -- §6. Riemannian Geodesic Length and Completeness -- IX Curvature -- §1. The Riemann Tensor -- §2. Jacobi Lifts -- §3. Application of Jacobi Lifts to dexpx -- §4. The Index Form, Variations, and the Second Variation Formula -- §5. Taylor Expansions -- X Volume Forms -- §1. The Riemannian Volume Form -- §2. Covariant Derivatives -- §3. The Jacobian Determinant of the Exponential Map -- §4. The Hodge Star on Forms -- §5. Hodge Decomposition of Differential Forms -- XI Integration of Differential Forms -- §1. Sets of Measure 0 -- §2. Change of Variables Formula -- §3. Orientation -- §4. The Measure Associated with a Differential Form -- XII Stokes’ Theorem -- §1. Stokes’ Theorem for a Rectangular Simplex -- §2. Stokes’ Theorem on a Manifold -- §3. Stokes’ Theorem with Singularities -- XIII Applications of Stokes’ Theorem -- §1. The Maximal de Rham Cohomology -- §2. Moser’s Theorem -- §3. The Divergence Theorem -- §4. The Adjoint of d for Higher Degree Forms -- §5. Cauchy’s Theorem -- §6. The Residue Theorem -- Appendix The Spectral Theorem -- §1. Hilbert Space -- §2. Functionals and Operators -- §3. Hermitian Operators. |
Record Nr. | UNINA-9910480453003321 |
Lang Serge | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang |
Autore | Lang Serge |
Edizione | [3rd ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XIV, 364 p.) |
Disciplina | 516.36 |
Altri autori (Persone) | LangSerge <1927-2005.> |
Collana | Graduate Texts in Mathematics |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Algebraic topology Differential Geometry Analysis Algebraic Topology |
ISBN | 1-4612-4182-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | I Differential Calculus -- §1. Categories -- §2. Topological Vector Spaces -- §3. Derivatives and Composition of Maps -- §4. Integration and Taylor’s Formula -- §5. The Inverse Mapping Theorem -- II Manifolds -- §1. Atlases, Charts, Morphisms -- §2. Submanifolds, Immersions, Submersions -- §3. Partitions of Unity -- §4. Manifolds with Boundary -- III Vector Bundles -- §1. Definition, Pull Backs -- §2. The Tangent Bundle -- §3. Exact Sequences of Bundles -- §4. Operations on Vector Bundles -- §5. Splitting of Vector Bundles -- IV Vector Fields and Differential Equations -- §1. Existence Theorem for Differential Equations -- §2. Vector Fields, Curves, and Flows -- §3. Sprays -- §4. The Flow of a Spray and the Exponential Map -- §5. Existence of Tubular Neighborhoods -- §6. Uniqueness of Tubular Neighborhoods -- V Operations on Vector Fields and Differential Forms -- §1. Vector Fields, Differential Operators, Brackets -- §2. Lie Derivative -- $3. Exterior Derivative -- §4. The Poincaré Lemma -- §5. Contractions and Lie Derivative -- §6. Vector Fields and 1-Forms Under Self Duality -- §7. The Canonical 2-Form -- §8. Darboux’s Theorem -- VI The Theorem of Frobenius -- §1. Statement of the Theorem -- §2. Differential Equations Depending on a Parameter -- §3. Proof of the Theorem -- §4. The Global Formulation -- §5. Lie Groups and Subgroups -- VII Metrics -- §1. Definition and Functoriality -- §2. The Hilbert Group -- §3. Reduction to the Hilbert Group -- §4. Hilbertian Tubular Neighborhoods -- §5. The Morse—Palais Lemma -- §6. The Riemannian Distance -- §7. The Canonical Spray -- VIII Covariant Derivatives and Geodesics -- §1. Basic Properties -- §2. Sprays and Covariant Derivatives -- §3. Derivative Along a Curve and Parallelism -- §4. The Metric Derivative -- §5. More Local Results on the Exponential Map -- §6. Riemannian Geodesic Length and Completeness -- IX Curvature -- §1. The Riemann Tensor -- §2. Jacobi Lifts -- §3. Application of Jacobi Lifts to dexpx -- §4. The Index Form, Variations, and the Second Variation Formula -- §5. Taylor Expansions -- X Volume Forms -- §1. The Riemannian Volume Form -- §2. Covariant Derivatives -- §3. The Jacobian Determinant of the Exponential Map -- §4. The Hodge Star on Forms -- §5. Hodge Decomposition of Differential Forms -- XI Integration of Differential Forms -- §1. Sets of Measure 0 -- §2. Change of Variables Formula -- §3. Orientation -- §4. The Measure Associated with a Differential Form -- XII Stokes’ Theorem -- §1. Stokes’ Theorem for a Rectangular Simplex -- §2. Stokes’ Theorem on a Manifold -- §3. Stokes’ Theorem with Singularities -- XIII Applications of Stokes’ Theorem -- §1. The Maximal de Rham Cohomology -- §2. Moser’s Theorem -- §3. The Divergence Theorem -- §4. The Adjoint of d for Higher Degree Forms -- §5. Cauchy’s Theorem -- §6. The Residue Theorem -- Appendix The Spectral Theorem -- §1. Hilbert Space -- §2. Functionals and Operators -- §3. Hermitian Operators. |
Record Nr. | UNINA-9910789224303321 |
Lang Serge | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential and Riemannian Manifolds [[electronic resource] /] / by Serge Lang |
Autore | Lang Serge |
Edizione | [3rd ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XIV, 364 p.) |
Disciplina | 516.36 |
Altri autori (Persone) | LangSerge <1927-2005.> |
Collana | Graduate Texts in Mathematics |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Algebraic topology Differential Geometry Analysis Algebraic Topology |
ISBN | 1-4612-4182-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | I Differential Calculus -- §1. Categories -- §2. Topological Vector Spaces -- §3. Derivatives and Composition of Maps -- §4. Integration and Taylor’s Formula -- §5. The Inverse Mapping Theorem -- II Manifolds -- §1. Atlases, Charts, Morphisms -- §2. Submanifolds, Immersions, Submersions -- §3. Partitions of Unity -- §4. Manifolds with Boundary -- III Vector Bundles -- §1. Definition, Pull Backs -- §2. The Tangent Bundle -- §3. Exact Sequences of Bundles -- §4. Operations on Vector Bundles -- §5. Splitting of Vector Bundles -- IV Vector Fields and Differential Equations -- §1. Existence Theorem for Differential Equations -- §2. Vector Fields, Curves, and Flows -- §3. Sprays -- §4. The Flow of a Spray and the Exponential Map -- §5. Existence of Tubular Neighborhoods -- §6. Uniqueness of Tubular Neighborhoods -- V Operations on Vector Fields and Differential Forms -- §1. Vector Fields, Differential Operators, Brackets -- §2. Lie Derivative -- $3. Exterior Derivative -- §4. The Poincaré Lemma -- §5. Contractions and Lie Derivative -- §6. Vector Fields and 1-Forms Under Self Duality -- §7. The Canonical 2-Form -- §8. Darboux’s Theorem -- VI The Theorem of Frobenius -- §1. Statement of the Theorem -- §2. Differential Equations Depending on a Parameter -- §3. Proof of the Theorem -- §4. The Global Formulation -- §5. Lie Groups and Subgroups -- VII Metrics -- §1. Definition and Functoriality -- §2. The Hilbert Group -- §3. Reduction to the Hilbert Group -- §4. Hilbertian Tubular Neighborhoods -- §5. The Morse—Palais Lemma -- §6. The Riemannian Distance -- §7. The Canonical Spray -- VIII Covariant Derivatives and Geodesics -- §1. Basic Properties -- §2. Sprays and Covariant Derivatives -- §3. Derivative Along a Curve and Parallelism -- §4. The Metric Derivative -- §5. More Local Results on the Exponential Map -- §6. Riemannian Geodesic Length and Completeness -- IX Curvature -- §1. The Riemann Tensor -- §2. Jacobi Lifts -- §3. Application of Jacobi Lifts to dexpx -- §4. The Index Form, Variations, and the Second Variation Formula -- §5. Taylor Expansions -- X Volume Forms -- §1. The Riemannian Volume Form -- §2. Covariant Derivatives -- §3. The Jacobian Determinant of the Exponential Map -- §4. The Hodge Star on Forms -- §5. Hodge Decomposition of Differential Forms -- XI Integration of Differential Forms -- §1. Sets of Measure 0 -- §2. Change of Variables Formula -- §3. Orientation -- §4. The Measure Associated with a Differential Form -- XII Stokes’ Theorem -- §1. Stokes’ Theorem for a Rectangular Simplex -- §2. Stokes’ Theorem on a Manifold -- §3. Stokes’ Theorem with Singularities -- XIII Applications of Stokes’ Theorem -- §1. The Maximal de Rham Cohomology -- §2. Moser’s Theorem -- §3. The Divergence Theorem -- §4. The Adjoint of d for Higher Degree Forms -- §5. Cauchy’s Theorem -- §6. The Residue Theorem -- Appendix The Spectral Theorem -- §1. Hilbert Space -- §2. Functionals and Operators -- §3. Hermitian Operators. |
Record Nr. | UNINA-9910828781003321 |
Lang Serge | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential Characters [[electronic resource] /] / by Christian Bär, Christian Becker |
Autore | Bär Christian |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (VIII, 187 p.) |
Disciplina | 516.36 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Differential geometry
Algebraic topology Differential Geometry Algebraic Topology |
ISBN | 3-319-07034-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Differential Characters and Geometric Chains -- Relative differential Cohomology -- Index. |
Record Nr. | UNINA-9910300147903321 |
Bär Christian | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential Characters [[electronic resource] /] / by Christian Bär, Christian Becker |
Autore | Bär Christian |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (VIII, 187 p.) |
Disciplina | 516.36 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Differential geometry
Algebraic topology Differential Geometry Algebraic Topology |
ISBN | 3-319-07034-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Differential Characters and Geometric Chains -- Relative differential Cohomology -- Index. |
Record Nr. | UNISA-996213732103316 |
Bär Christian | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo |
Autore | Do Carmo Manfredo P |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (X, 118 p.) |
Disciplina | 515/.37 |
Collana | Universitext |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Mathematical physics Physics Differential Geometry Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics, Simulation |
ISBN | 3-642-57951-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Differential Forms in Rn -- 2. Line Integrals -- 3. Differentiable Manifolds -- 4. Integration on Manifolds; Stokes Theorem and Poincaré’s Lemma -- 1. Integration of Differential Forms -- 2. Stokes Theorem -- 3. Poincaré’s Lemma -- 5. Differential Geometry of Surfaces -- 1. The Structure Equations of Rn -- 2. Surfaces in R3 -- 3. Intrinsic Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- 1. The Theorem of Gauss-Bonnet -- 2. The Theorem of Morse -- References. |
Record Nr. | UNINA-9910480715803321 |
Do Carmo Manfredo P | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo |
Autore | Do Carmo Manfredo P |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (X, 118 p.) |
Disciplina | 515/.37 |
Collana | Universitext |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Mathematical physics Physics Differential Geometry Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics, Simulation |
ISBN | 3-642-57951-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Differential Forms in Rn -- 2. Line Integrals -- 3. Differentiable Manifolds -- 4. Integration on Manifolds; Stokes Theorem and Poincaré’s Lemma -- 1. Integration of Differential Forms -- 2. Stokes Theorem -- 3. Poincaré’s Lemma -- 5. Differential Geometry of Surfaces -- 1. The Structure Equations of Rn -- 2. Surfaces in R3 -- 3. Intrinsic Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- 1. The Theorem of Gauss-Bonnet -- 2. The Theorem of Morse -- References. |
Record Nr. | UNINA-9910789213403321 |
Do Carmo Manfredo P | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential Forms and Applications [[electronic resource] /] / by Manfredo P. Do Carmo |
Autore | Do Carmo Manfredo P |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (X, 118 p.) |
Disciplina | 515/.37 |
Collana | Universitext |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Mathematical physics Physics Differential Geometry Analysis Theoretical, Mathematical and Computational Physics Mathematical Methods in Physics Numerical and Computational Physics, Simulation |
ISBN | 3-642-57951-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Differential Forms in Rn -- 2. Line Integrals -- 3. Differentiable Manifolds -- 4. Integration on Manifolds; Stokes Theorem and Poincaré’s Lemma -- 1. Integration of Differential Forms -- 2. Stokes Theorem -- 3. Poincaré’s Lemma -- 5. Differential Geometry of Surfaces -- 1. The Structure Equations of Rn -- 2. Surfaces in R3 -- 3. Intrinsic Geometry of Surfaces -- 6. The Theorem of Gauss-Bonnet and the Theorem of Morse -- 1. The Theorem of Gauss-Bonnet -- 2. The Theorem of Morse -- References. |
Record Nr. | UNINA-9910828274203321 |
Do Carmo Manfredo P | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|