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Beschreibung
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.
Details
| Verlag | Springer Basel |
| Ersterscheinung | 15. Oktober 2012 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 236 Gramm |
| Format | Softcover |
| ISBN-13 | 9783034898423 |
| Seiten | 135 |
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