Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2003]
Descrizione fisica	1 online resource (338 p.)
Disciplina	516.3/6
Collana	Contemporary mathematics
Soggetto topico	Geometry, Differential Functions of several complex variables Geometry, Riemannian
ISBN	0-8218-7922-7 0-8218-3273-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Preface""; ""Bergman kernels related to Hermitian line bundles over compact complex manifolds""; ""A gentle introduction to points of finite type on real hypersurfaces""; ""The moduli space of 2-step nilpotent Lie algebras of type (p, q)""; ""The homotopy principle in complex analysis: A survey""; ""Finiteness theorems in riemannian geometry""; ""Generalized Toponogov's theorem for manifolds with radial curvature bounded below""; ""The global isometric embedding problem""; ""The Bergman metric invariants and their boundary behavior"" ""Natural connections in almost complex manifolds""""The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type""; ""Subelliptic estimates and scaling in the â??-Neumann problem""; ""Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups""; ""On the extension of L2 holomorphic functions VI â€? a limiting case""; ""Variations on a theme of Synge""; ""Mappings between real submanifolds in complex space""; ""Harmonic analysis on toric varieties""; ""On complex manifolds with noncompact automorphism groups""
Record Nr.	UNINA-9910817176303321

Autore	McInerney Andrew
Edizione	[1st ed. 2013.]
Pubbl/distr/stampa	New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Descrizione fisica	1 online resource (XIII, 410 p. 54 illus., 25 illus. in color.)
Disciplina	516.3/6
Collana	Undergraduate Texts in Mathematics
Soggetto topico	Differential geometry Global analysis (Mathematics) Manifolds (Mathematics) Complex manifolds Differential Geometry Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology)
ISBN	1-4614-7732-8
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index.
Record Nr.	UNINA-9910733732903321

Autore	Sussman Gerald Jay
Pubbl/distr/stampa	Cambridge, Massachusetts : , : MIT Press, , [2013]
Descrizione fisica	1 online resource (249 p.)
Disciplina	516.3/6
Altri autori (Persone)	WisdomJack FarrWill
Soggetto topico	Geometry, Differential Functional differential equations Mathematical physics
ISBN	0-262-31561-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Contents; Preface; Prologue; 1 Introduction; 2 Manifolds; 3 Vector Fields and One-Form Fields; 4 Basis Fields; 5 Integration; 6 Over a Map; 7 Directional Derivatives; 8 Curvature; 9 Metrics; 10 Hodge Star and Electrodynamics; 11 Special Relativity; A Scheme; B Our Notation; C Tensors; References; Index
Record Nr.	UNINA-9910260608503321

Autore	Guillemin Victor <1937->
Edizione	[Revised ed.]
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1977]
Descrizione fisica	1 online resource (500 p.)
Disciplina	516.3/6
Collana	Mathematical surveys and monographs
Soggetto topico	Geometry, Differential Asymptotic expansions Geometrical optics
ISBN	0-8218-1633-0 0-8218-3208-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""TABLE OF CONTENTS""; ""PREFACE""; ""NOTATION""; ""CHAPTER I. INTRODUCTION. THE METHOD OF STATIONARY PHASE""; ""APPENDIX I. MORSE'S LEMMA AND SOME GENERALIZATIONS""; ""CHAPTER II. DIFFERENTIAL OPERATORS AND ASYMPTOTIC SOLUTIONS""; ""Â1. Differential operators""; ""Â2. Asymptotic sections""; ""Â3. The LÃneburg-Lax-Ludwig technique""; ""Â4. The methods of characteristics""; ""Â5. Bi-characteristics""; ""Â6. The transport equation""; ""Â7. The Maslov cycle and the Bohr-Sommerfeld quantization conditions""; ""CHAPTER III. GEOMETRICAL OPTICS"" ""Â1. The laws of refraction and reflection""""Â2. Focusing and magnification""; ""Â3. Hamilton's method""; ""Â4. First order optics""; ""Â5. The Seidel aberrations""; ""Â6. The asymptotic solution of Maxwell's equations""; ""CHAPTER IV. SYMPLECTIC GEOMETRY""; ""Â1. The Darboux-Weinstein theorem""; ""Â2. Symplectic vector spaces""; ""Â3. The cross index and the Maslov class""; ""Â4. Functorial properties of Lagrangian submanifolds""; ""Â5. Local parametrizations of Lagrangian submanifolds""; ""Â6. Periodic Hamiltonian systems""; ""Â7. Homogeneous symplectic spaces"" ""Â8. Multisymplectic structures and the calculus of variations""""CHAPTER V. GEOMETRIC QUANTIZATION""; ""Â1. Curvature forms and vector bundles""; ""Â2. The group of automorphisms of an Hermitian line bundle""; ""Â3. Polarizations""; ""Â4. Metalinear manifolds and half forms""; ""Â5. Metaplectic manifolds""; ""Â6. The pairing of half form sections""; ""Â7. The metaplectic representation""; ""Â8. Some examples""; ""CHAPTER VI. GEOMETRIC ASPECTS OF DISTRIBUTIONS""; ""Â1. Elementary functorial properties of distributions""; ""Â2. Traces and characters""; ""Â3. The wave front set"" ""Â4. Lagrangian distributions """"Â5. The symbol calculus""; ""Appendix to Section 5""; ""Â6. Fourier integral operators""; ""Â7. The transport equation""; ""Â8. Some applications to spectral theory""; ""APPENDIX TO CHAPTER VI. THE PLANCHEREL FORMULA FOR THE COMPLEX SEMI-SIMPLE LIE GROUPS""; ""CHAPTER VII. COMPOUND ASYMPTOTICS""; ""Â0. Introduction""; ""Â1. The asymptotic Fourier transform""; ""Â2. The frequency set""; ""Â3. Functorial properties of compound asymptotics""; ""Â4. The symbol calculus""; ""Â5. Pointwise behavior of compound asymptotics and Bernstein's theorem"" ""Appendix to Section 5 of Chapter VII""""Â6. Behavior near caustics""; ""Â7. Iterated S[sub(1)] and S[sub(2,0)] singularities, computations""; ""Â8. Proofs of the normal forms""; ""Â9. Behavior near caustics (continued)""; ""APPENDIX II. VARIOUS FUNCTORIAL CONSTRUCTIONS""; ""Â1. The category of smooth vector bundles""; ""Â2. The fiber product""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""W""
Record Nr.	UNINA-9910146558303321

Autore	Cushman Richard H. <1942->
Pubbl/distr/stampa	Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Descrizione fisica	1 online resource (421 p.)
Disciplina	516.3/6
Altri autori (Persone)	DuistermaatJ. J <1942-> (Johannes Jisse) ŚniatyckiJędrzej
Collana	Advanced series in nonlinear dynamics
Soggetto topico	Nonholonomic dynamical systems Geometry, Differential Rigidity (Geometry) Caratheodory measure
Soggetto genere / forma	Electronic books.
ISBN	1-282-76167-6 9786612761676 981-4289-49-3
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Contents; Acknowledgments; Foreword; 1. Nonholonomically constrained motions; 1.1 Newton's equations; 1.2 Constraints; 1.3 Lagrange-d'Alembert equations; 1.4 Lagrange derivative in a trivialization; 1.5 Hamilton-d'Alembert equations; 1.6 Distributional Hamiltonian formulation; 1.6.1 The symplectic distribution (H,); 1.6.2 H and in a trivialization; 1.6.3 Distributional Hamiltonian vector field; 1.7 Almost Poisson brackets; 1.7.1 Hamilton's equations; 1.7.2 Nonholonomic Dirac brackets; 1.8 Momenta and momentum equation; 1.8.1 Momentum functions; 1.8.2 Momentum equations 1.8.3 Homogeneous functions1.8.4 Momenta as coordinates; 1.9 Projection principle; 1.10 Accessible sets; 1.11 Constants of motion; 1.12 Notes; 2. Group actions and orbit spaces; 2.1 Group actions; 2.2 Orbit spaces; 2.3 Isotropy and orbit types; 2.3.1 Isotropy types; 2.3.2 Orbit types; 2.3.3 When the action is proper; 2.3.4 Stratification on by orbit types; 2.4 Smooth structure on an orbit space; 2.4.1 Differential structure; 2.4.2 The orbit space as a differential space; 2.5 Subcartesian spaces; 2.6 Stratification of the orbit space by orbit types; 2.6.1 Orbit types in an orbit space 2.6.2 Stratification of an orbit space2.6.3 Minimality of S; 2.7 Derivations and vector fields on a differential space; 2.8 Vector fields on a stratified differential space; 2.9 Vector fields on an orbit space; 2.10 Tangent objects to an orbit space; 2.10.1 Stratified tangent bundle; 2.10.2 Zariski tangent bundle; 2.10.3 Tangent cone; 2.10.4 Tangent wedge; 2.11 Notes; 3. Symmetry and reductio; 3.1 Dynamical systems with symmetry; 3.1.1 Invariant vector fields; 3.1.2 Reduction of symmetry; 3.1.3 Reduction for or a free and proper G-action; 3.1.4 Reduction of a nonfree, proper G-action 3.2 Nonholonomic singular reduction for a proper action3.3 Nonholonomic reduction for a free and proper action; 3.4 Chaplygin systems; 3.5 Orbit types and reduction; 3.6 Conservation laws; 3.6.1 Momentum map; 3.6.2 Gauge momenta; 3.7 Lifted actions and the momentum equation; 3.7.1 Lifted actions; 3.7.2 Momentum equation; 3.8 Notes; 4.Reconstruction, relative equilibria and relative periodic orbits; 4.1 Reconstruction; 4.1.1 Reconstruction for proper free actions; 4.1.2 Reconstruction for nonfree proper actions; 4.1.3 Application to nonholonomic systems; 4.2 Relative equilibria 4.2.1 Basic properties4.2.2 Quasiperiodic relative equilibria; 4.2.3 Runaway relative equilibria; 4.2.4 Relative equilibria when the action is not free; 4.2.5 Other relative equilibria in a G-orbit; 4.2.5.1 When the G-action is free; 4.2.5.2 When the G-action is not free; 4.2.6 Smooth families of quasiperiodic relative equilibria; 4.2.6.1 Elliptic, regular, and stably elliptic elements of g; 4.2.6.2 When the G-action is free and proper; 4.2.6.3 When the G-action is proper but not free; 4.3 Relative periodic orbits; 4.3.1 Basic properties; 4.3.2 Quasiperiodic relative periodic orbits 4.3.3 Runaway relative period orbits
Record Nr.	UNINA-9910455562003321