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[null,"1.","Record Nr.",null,"UNINA9910827648403321"]
[null,null,"Autore",null,"Gangbo Wilfrid"]
[null,null,"Titolo",null,"Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems / / Wilfrid Gangbo, Hwa Kil Kim, Tommaso Pacini"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2010"]
[{"$nulls":4},"©2010"]
[null,null,"ISBN",null,"1-4704-0610-1"]
[null,null,"Descrizione fisica",null,"1 online resource (77 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 211, Number 993"]
[null,null,"Disciplina",null,"515/.39"]
[null,null,"Soggetti",null,"Differential forms"]
[{"$nulls":4},"Hamiltonian systems"]
[{"$nulls":4},"Infinite-dimensional manifolds"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 211, Number 993 (third of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Abstract\"\"; \"\"Chapter 1. Introduction\"\"; \"\"Chapter 2. The topology on M and a differential calculus of curves\"\"; \"\"2.1. The space of distributions\"\"; \"\"2.2. The topology on M\"\"; \"\"2.3. Tangent spaces and the divergence operator\"\"; \"\"2.4. Analytic justification for the tangent spaces\"\"; \"\"Chapter 3. The calculus of curves, revisited\"\"; \"\"3.1. Embedding the geometry of RD into M\"\"; \"\"3.2. The intrinsic geometry of M\"\"; \"\"3.3. Embedding the geometry of M into (Cc)*\"\"; \"\"3.4. Further comments\"\"; \"\"Chapter 4. Tangent and cotangent bundles\"\""]
[{"$nulls":4},"\"\"4.1. Push-forward operations on M and TM\"\"\"\"4.2. Differential forms on M\"\"; \"\"4.3. Discussion\"\"; \"\"Chapter 5. Calculus of pseudo differential 1-forms\"\"; \"\"5.1. Green's formula for smooth surfaces and 1-forms\"\"; \"\"5.2. Regularity and differentiability of pseudo 1-forms\"\"; \"\"5.3. Regular forms and absolutely continuous curves\"\"; \"\"5.4. Green's formula for annuli\"\"; \"\"5.5. Example: 1-forms on the space of discrete measures\"\"; \"\"5.6. Discussion\"\"; \"\"Chapter 6. A symplectic foliation of M\"\"; \"\"6.1. The group of Hamiltonian diffeomorphisms\"\"; \"\"6.2. A symplectic foliation of M\"\""]
[{"$nulls":4},"\"\"6.3. Algebraic properties of the symplectic distribution\"\"\"\"Chapter 7. The symplectic foliation as a Poisson structure\"\"; \"\"7.1. Review of Poisson geometry\"\"; \"\"7.2. The symplectic foliation of M, revisited\"\"; \"\"Appendix A. Review of relevant notions of Differential Geometry\"\"; \"\"A.1. Calculus of vector fields and differential forms\"\"; \"\"A.2. Lie groups and group actions\"\"; \"\"A.3. Cohomology and invariant cohomology\"\"; "]
[{"$nulls":4},"\"\"A.4. The group of diffeomorphisms\"\"; \"\"Bibliography\"\""]