Gromov’s Compactness Theorem for Pseudo-holomorphic Curves Hardback
by Christoph Hummel
Part of the Progress in Mathematics series
Hardback
Description
Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985.
Since then, pseudo-holomorphic curves have taken on great importance in many fields.
The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail.
Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint.
Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities.
A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described.
The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces.
Information
-
Out of stock
- Format:Hardback
- Pages:135 pages, VIII, 135 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:01/05/1997
- Category:
- ISBN:9783764357351
Information
-
Out of stock
- Format:Hardback
- Pages:135 pages, VIII, 135 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:01/05/1997
- Category:
- ISBN:9783764357351
