Holomorphic Curves in Symplectic Geometry [electronic resource] /

Introduction: Applications of pseudo-holomorphic curves to symplectic topology -- 1 Examples of problems and results in symplectic topology -- 2 Pseudo-holomorphic curves in almost complex manifolds -- 3 Proofs of the symplectic rigidity results -- 4 What is in the book… and what is not -- 1: Basic symplectic geometry -- I An introduction to symplectic geometry -- II Symplectic and almost complex manifolds -- 2: Riemannian geometry and linear connections -- III Some relevant Riemannian geometry -- IV Connexions linéaires, classes de Chern, théorème de Riemann-Roch -- 3: Pseudo-holomorphic curves and applications -- V Some properties of holomorphic curves in almost complex manifolds -- VI Singularities and positivity of intersections of J-holomorphic curves -- VII Gromov’s Schwarz lemma as an estimate of the gradient for holomorphic curves -- VIII Compactness -- IX Exemples de courbes pseudo-holomorphes en géométrie riemannienne -- X Symplectic rigidity: Lagrangian submanifolds -- Authors’ addresses.

Bibliographic Details

Main Authors:	Audin, Michèle. editor., Lafontaine, Jacques. editor., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Basel : Birkhäuser Basel : Imprint: Birkhäuser, 1994
Subjects:	Mathematics., Topological groups., Lie groups., Differential geometry., Differential Geometry., Topological Groups, Lie Groups.,
Online Access:	http://dx.doi.org/10.1007/978-3-0348-8508-9
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