Holomorphic Curves and Global Questions in Contact Geometry

Holomorphic Curves and Global Questions in Contact Geometry

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...

Full description

Bibliographic Details
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.
Online Access:Full Text via HEAL-Link
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.

Similar Items