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Item Details
Title:
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CONFOLIATIONS
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By: |
Yakov Eliashberg, William P. Thurston |
Format: |
Paperback |

List price:
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£61.00 |
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it.
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ISBN 10: |
0821807765 |
ISBN 13: |
9780821807767 |
Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
Pub. date: |
15 November, 1997 |
Series: |
University Lecture Series No. 13 |
Pages: |
66 |
Description: |
Presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. This work offers an insight on the geometric nature of integrability. |
Synopsis: |
This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional 'brother' of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations - which interpolate between contact structures and codimension-one foliations - should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.It's features include: a unified approach to the topology of codimension-one foliations and contact geometry; insight on the geometric nature of integrability; and, new results, in particular on the perturbation of confoliations into contact structures. |
Illustrations: |
Illustrations |
Publication: |
US |
Imprint: |
American Mathematical Society |
Returns: |
Returnable |
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