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.
General
| Imprint: |
Springer Basel
|
| Country of origin: |
Switzerland |
| Series: |
Progress in Mathematics, 151 |
| Release date: |
October 2012 |
| First published: |
October 2012 |
| Authors: |
Christoph Hummel
|
| Dimensions: |
235 x 155 x 8mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
135 |
| Edition: |
Softcover reprint of the original 1st ed. 1997 |
| ISBN-13: |
978-3-03-489842-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
|
| LSN: |
3-03-489842-8 |
| Barcode: |
9783034898423 |
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