01093nam2 2200277 i 450 SUN007352120100120120000.088-85974-04-X20100120d1992 |0itac50 baitaIT|||| |||||ˆ2: I ‰centri storiciGiovanna AlvisiRoma : Serono Symposia ars1992243 p. : ill. ; 26 cmIn custodia.001SUN00735202001 In volo sopra l'Italia2210 RomaSerono symposia ars215 v.26 cm.RomaSUNL000360Alvisi, GiovannaSUNV05891140194Serono symposia arsSUNV007835650ITSOL20181109RICASUN0073521UFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI LETTERE E BENI CULTURALI07 CONS Ye 60 07 4840 UFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI LETTERE E BENI CULTURALIIT-CE01034840CONS Ye 60caCentri storici1435762UNICAMPANIA04244nam 22006135 450 991014627260332120250902193237.03-540-45330-X10.1007/978-3-540-45330-7(CKB)1000000000437264(SSID)ssj0000318654(PQKBManifestationID)11923600(PQKBTitleCode)TC0000318654(PQKBWorkID)10310831(PQKB)11410565(DE-He213)978-3-540-45330-7(MiAaPQ)EBC3063651(MiAaPQ)EBC6281335(PPN)153269995(EXLCZ)99100000000043726420100301d2008 u| 0engurnn#008mamaatxtccrLectures on Symplectic Geometry /by Ana Cannas da Silva1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (XII, 220 p.)Lecture Notes in Mathematics,0075-8434 ;1764"ISSN electronic edition 1617-9692."3-540-42195-5 Includes bibliographical references (pages [199]-206) and index.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.The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.Lecture Notes in Mathematics,0075-8434 ;1764Geometry, DifferentialDifferential equations, PartialDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Geometry, Differential.Differential equations, Partial.Differential Geometry.Partial Differential Equations.516.3/6Silva Ana Cannas daauthttp://id.loc.gov/vocabulary/relators/aut65988MiAaPQMiAaPQMiAaPQBOOK9910146272603321Lectures on symplectic geometry230549UNINA