Gromov's Compactness Theorem for Pseudo-holomorphic Curves /
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 detai...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
1997.
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| Series: | Progress in Mathematics ; ;
151. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 135 pages) |
| ISBN: | 9783034889520 (electronic bk.) 3034889526 (electronic bk.) |