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＜E-Book＞
Holomorphic Curves in Symplectic Geometry / edited by Michele Audin, Jacques Lafontaine
(Progress in Mathematics. ISSN:2296505X ; 117)

Edition	1st ed. 1994.
Publisher	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
Year	1994
Language	English
Size	XI, 331 p : online resource
Authors	Audin, Michele editor Lafontaine, Jacques editor SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Topological groups LCSH:Lie groups FREE:Differential Geometry FREE:Topological Groups and Lie Groups
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-0348-8508-9

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