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＜電子ブック＞
Holomorphic Curves and Global Questions in Contact Geometry / by Casim Abbas, Helmut Hofer
(Birkhäuser Advanced Texts Basler Lehrbücher. ISSN:22964894)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2019
本文言語	英語
大きさ	XII, 322 p. 33 illus., 2 illus. in color : online resource
著者標目	*Abbas, Casim author Hofer, Helmut author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Dynamical systems LCSH:Functions of complex variables FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Dynamical Systems FREE:Several Complex Variables and Analytic Spaces
一般注記	An Introduction to Contact Geometry -- Basic Results -- Surfaces in Three Dimensional Contact Manifolds -- Finite Energy Planes and Periodic Orbits -- Properties of Pseudoholomorphic Curves -- Intersection Theory for Pseudoholomorphic Disks -- Local Existence and Global Uniqueness Results -- Bubbling-off in Families of Pseudoholomorphic Disks -- Disk Filling Methods and Applications This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting point the authors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory. An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic curves in the field. The authors proceed to the heart of the material providing a detailed exposition about finite energy planes and periodic orbits (chapter 4) to disk filling methods and applications (chapter 9). The material is self-contained. It includes a number of technical appendices giving the geometric analysis foundations for the main results, so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors HTTP:URL=https://doi.org/10.1007/978-3-030-11803-7

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