Holomorphic Curves and Global Questions in Contact Geometry (Hardcover, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Birkhauser Advanced Texts / Basler Lehrbucher
Release date:	April 2019
First published:	2019
Authors:	Casim Abbas • Helmut Hofer
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	322
Edition:	1st ed. 2019
ISBN-13:	978-3-03-011802-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	3-03-011802-9
Barcode:	9783030118020

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