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- Author: Christoph Hummel
- Publisher: Birkhäuser
- Year: 2012
- Pages: 135
- ISBN-10: 3034898428
- ISBN-13: 9783034898423
- Format: 15.6 x 23.4 x 0.8 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Gromov's Compactness Theorem for Pseudo-Holomorphic Curves (e-book) (used book) | bookbook.eu
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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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- Author: Christoph Hummel
- Publisher: Birkhäuser
- Year: 2012
- Pages: 135
- ISBN-10: 3034898428
- ISBN-13: 9783034898423
- Format: 15.6 x 23.4 x 0.8 cm, minkšti viršeliai
- Language: English English
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.
Reviews