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RECENT PROGRESS IN CONFORMAL GEOMETRY [ICP Advanced Texts in Mathematics]

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Item specifics

Condition
Very Good: A book that has been read and does not look new, but is in excellent condition. No ...
ISBN
9781860947728
Subject Area
Mathematics
Publication Name
Recent Progress in Conformal Geometry
Publisher
Imperial College Press
Item Length
8.8 in
Subject
Geometry / Analytic, Geometry / General, Mathematical Analysis
Publication Year
2007
Series
Icp Advanced Texts in Mathematics Ser.
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.3 in
Author
Yongzhong Xu, Abbas Bahri
Item Weight
0 Oz
Item Width
6.4 in
Number of Pages
509 Pages

About this product

Product Identifiers

Publisher
Imperial College Press
ISBN-10
1860947727
ISBN-13
9781860947728
eBay Product ID (ePID)
59036545

Product Key Features

Number of Pages
509 Pages
Language
English
Publication Name
Recent Progress in Conformal Geometry
Subject
Geometry / Analytic, Geometry / General, Mathematical Analysis
Publication Year
2007
Type
Textbook
Author
Yongzhong Xu, Abbas Bahri
Subject Area
Mathematics
Series
Icp Advanced Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
1.3 in
Item Weight
0 Oz
Item Length
8.8 in
Item Width
6.4 in

Additional Product Features

Intended Audience
Trade
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
516.35
Synopsis
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., 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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