Recent Progress In Conformal Geometry

Name: Recent Progress In Conformal Geometry
Brand: Imperial College Press
SKU: 9781860947728
Price: 1154.29 RON
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Autor: Abbas Bahri, Yongzhong Xu

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Legare: Copertă tare

Editura: Imperial College Press

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This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type probl...

Informații despre carte

Autor

Abbas Bahri, Yongzhong Xu

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2007

Pagini

524

EAN

9781860947728

ISBN

1860947727

Enbook ID

05121908

Editura

Imperial College Press

Greutate

854

Dimensiuni

161 x 231 x 33

Descriere completă

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.

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