Recent Progress In Conformal Geometry - Icp Advanced Texts In Mathematics 1 (Hardback)
  • Recent Progress In Conformal Geometry - Icp Advanced Texts In Mathematics 1 (Hardback)
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Recent Progress In Conformal Geometry - Icp Advanced Texts In Mathematics 1 (Hardback)

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£163.00
Hardback 524 Pages / Published: 09/04/2007
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This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction.In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.

Publisher: Imperial College Press
ISBN: 9781860947728
Number of pages: 524
Weight: 1492 g
Dimensions: 224 x 163 x 34 mm

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