Holomorphic Curves and Global Questions in Contact Geometry

• Main Authors: Abbas, Casim (Author, http://id.loc.gov/vocabulary/relators/aut), Hofer, Helmut (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Birkhäuser Advanced Texts Basler Lehrbücher,
• Subjects: Differential geometry.; Global analysis (Mathematics).; Manifolds (Mathematics).; Dynamics.; Ergodic theory.; Functions of complex variables.; Differential Geometry.; Global Analysis and Analysis on Manifolds.; Dynamical Systems and Ergodic Theory.; Several Complex Variables and Analytic Spaces.

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 sym...

Table of Contents:

• 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.