Gromovs Compactness Theorem for Pseude-Holomorphic Curves Christoph Hummel

ISBN: 9783764357351

Published: February 4th 2004

Hardcover

144 pages


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Gromovs Compactness Theorem for Pseude-Holomorphic Curves  by  Christoph Hummel

Gromovs Compactness Theorem for Pseude-Holomorphic Curves by Christoph Hummel
February 4th 2004 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 144 pages | ISBN: 9783764357351 | 6.18 Mb

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 Gromovs compactnessMoreMikhail 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 Gromovs 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.



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