Recent Progress In Conformal Geometry Hardback
by Abbas (Rutgers Univ, Usa) Bahri, Yongzhong (Courant Inst Of Mathematical Sci, Usa) Xu
Part of the Icp Advanced Texts In Mathematics series
Hardback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:524 pages
- Publisher:Imperial College Press
- Publication Date:09/04/2007
- Category:
- ISBN:9781860947728
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:524 pages
- Publisher:Imperial College Press
- Publication Date:09/04/2007
- Category:
- ISBN:9781860947728
