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portada gromov's compactness theorem for pseude-holomorphic curves
Type
Physical Book
Author
Publisher
Year
2004
Language
English
Pages
135
Format
Hardcover
Dimensions
23.4x15.6x1 cm
Weight
0.39 kg.
ISBN
3764357355
ISBN13
9783764357351
Categories

gromov's compactness theorem for pseude-holomorphic curves

Christoph Hummel (Author) · Birkhauser · Hardcover

gromov's compactness theorem for pseude-holomorphic curves - Hummel, Christoph

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Synopsis "gromov's compactness theorem for pseude-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 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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