Recent Progress In Conformal Geometry

Recent Progress In Conformal Geometry
Pris
Pris
3 259,- 3 259,-
E-Bok
Format E-Bok
Kopisperre Teknisk DRM
Filformat PDF
Utgivelsesår 2007
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9781860948602
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Om Recent Progress In Conformal Geometry

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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