Gromov’s Compactness Theorem for Pseudo-holomorphic Curves (Progress in Mathematics, 151)

Hummel, Christoph（著）

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出版社: Birkhaeuser(1997-05-01)

ハードカバー: 143 ページ / 15.6 x 1.0 x 23.4 cm

ISBN-10: 3764357355 ISBN-13: 9783764357351

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版元ドットコムカスタマイズ

紹介

Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. This book aims to present in detail the original proof for Gromov's compactness theorum for pseudo-holomorphic curves. 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 thick-thin decomposition is described. This text should be accessible to students with a basic knowledge of differentiable manifolds and covering spaces.

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