Autore	Cushman Richard H. <1942->
Edizione	[1st ed.]
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 <1942-2010.> (Johannes Jisse) ŚniatyckiJędrzej
Collana	Advanced series in nonlinear dynamics
Soggetto topico	Nonholonomic dynamical systems Geometry, Differential Rigidity (Geometry) Caratheodory measure
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-9910810615503321

Autore	Rieffel Marc A (Marc Aristide), <1937->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 2004
Descrizione fisica	1 online resource (106 p.)
Disciplina	516.3/6
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Noncommutative differential geometry Global differential geometry
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0394-3
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Preface""; ""Gromov-Hausdorff Distance for Quantum Metric Spaces""; ""1. Introduction""; ""2. Compact Quantum Metric Spaces""; ""3. Quotients (= ""subsets"")""; ""4. Quantum Gromov-Hausdorff Distance""; ""5. Bridges""; ""6. Isometries""; ""7. Distance Zero""; ""8. Actions of Compact Groups""; ""9. Quantum Tori""; ""10. Continuous Fields of Order-unit Spaces""; ""11. Continuous Fields of Lip-norms""; ""12. Completeness""; ""13. Finite Approximation and Compactness""; ""Appendix 1. An Example where dist[sub(GH)] > dist[sub(q)]""; ""Appendix 2. Dirac Operators are Universal"" ""Bibliography""""Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance""; ""0. Introduction""; ""1. The Quantum Metric Spaces""; ""2. Choosing the Bridge Constant Î³""; ""3. Compact Semisimple Lie Groups""; ""4. Covariant Symbols""; ""5. Contravariant Symbols""; ""6. Conclusion of the Proof of Theorem 3.2""; ""Bibliography""
Record Nr.	UNINA-9910480224403321

Autore	Abbas Casim
Edizione	[1st ed. 2014.]
Pubbl/distr/stampa	Heidelberg, Germany : , : Springer, , 2014
Descrizione fisica	1 online resource (viii, 252 pages) : illustrations (some color)
Disciplina	510 514.34 516.3 516.3/6
Collana	Gale eBooks
Soggetto topico	Symplectic geometry
ISBN	3-642-31543-7
Classificazione	SK 370
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""An Introduction to Compactness Results in Symplectic Field Theory""; ""Preface""; ""Contents""; ""Chapter 1: Riemann Surfaces""; ""1.1 Smooth and Noded Riemann Surfaces""; ""1.2 Riemann Surfaces and Hyperbolic Geometry""; ""1.2.1 Stable Surfaces""; ""1.2.2 The Hyperbolic Plane""; ""1.2.3 Gluing Hyperbolic Surfaces Along Their Boundaries""; ""1.2.4 Annuli""; ""1.2.5 Hexagons in the Upper Half Plane and Pairs of Pants""; ""1.2.6 Pairs of Pants Decompositions""; ""1.2.7 Thick-Thin Decomposition and Collar Lemma""; ""1.3 The Deligne-Mumford Compactness Result"" ""1.3.1 The Notion of Convergence""""1.3.2 The Proof of the Compactness Result for Surfaces Without Boundary""; ""1.3.3 Surfaces with Boundary""; ""Chapter 2: Pseudoholomorphic Curves""; ""2.1 Basic De nitions""; ""2.2 Asymptotic Behavior Near a Puncture""; ""2.2.1 Introduction""; ""2.2.2 Estimates for the Linear Cauchy Riemann Operator""; ""2.2.3 Regularity: Gradient Bounds Imply Cinfty-Bounds""; ""2.2.4 Behavior Near an Interior Puncture""; ""2.2.5 Behavior Near a Boundary Puncture""; ""2.3 Isoperimetric Inequality, Monotonicity Lemma, Removal of Singularities"" ""2.4 Finite-Energy Strips and Cylinders of Small Area""""Chapter 3: The SFT Compactness Results""; ""3.1 Holomorphic Buildings for Curves Without Boundary""; ""3.1.1 Holomorphic Buildings of Height 1""; ""3.1.2 Holomorphic Buildings of Height N""; ""3.2 Adding Additional Marked Points""; ""3.3 The Compactness Result for the Case Without Boundary""; ""3.3.1 Statement of the Result""; ""3.3.2 Gradient Bounds""; ""3.3.3 Convergence in the Thick Part""; ""3.3.4 Convergence in the Thin Part and Level Structure""; ""3.4 More General Holomorphic Buildings and Compactness Results"" ""3.4.1 Holomorphic Buildings of Height 1""""3.4.2 Holomorphic Buildings of Height N""; ""3.4.3 Holomorphic Buildings in Manifolds with Cylindrical Ends""; ""3.4.4 A More General Compactness Result""; ""References""; ""Index""
Record Nr.	UNINA-9910300151603321

Autore	Cannas da Silva Ana
Edizione	[1st ed. 2008.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008
Descrizione fisica	1 online resource (XII, 220 p.)
Disciplina	516.3/6
Collana	Lecture Notes in Mathematics
Soggetto topico	Differential geometry Partial differential equations Differential Geometry Partial Differential Equations
ISBN	3-540-45330-X
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Symplectic Manifolds -- Symplectic Forms -- Symplectic Form on the Cotangent Bundle -- Symplectomorphisms -- Lagrangian Submanifolds -- Generating Functions -- Recurrence -- Local Forms -- Preparation for the Local Theory -- Moser Theorems -- Darboux-Moser-Weinstein Theory -- Weinstein Tubular Neighborhood Theorem -- Contact Manifolds -- Contact Forms -- Contact Dynamics -- Compatible Almost Complex Structures -- Almost Complex Structures -- Compatible Triples -- Dolbeault Theory -- Kähler Manifolds -- Complex Manifolds -- Kähler Forms -- Compact Kähler Manifolds -- Hamiltonian Mechanics -- Hamiltonian Vector Fields -- Variational Principles -- Legendre Transform -- Moment Maps -- Actions -- Hamiltonian Actions -- Symplectic Reduction -- The Marsden-Weinstein-Meyer Theorem -- Reduction -- Moment Maps Revisited -- Moment Map in Gauge Theory -- Existence and Uniqueness of Moment Maps -- Convexity -- Symplectic Toric Manifolds -- Classification of Symplectic Toric Manifolds -- Delzant Construction -- Duistermaat-Heckman Theorems.
Record Nr.	UNISA-996466526903316