Recent Progress in Conformal Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Bahri, Abbas/ Xu, Yongzhong 作者

World Scientific Pub Co Inc

译者

2007-4 出版日期

524 页数

$ 185.00 价格

HRD

丛书系列

9781860947728 图书编码

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Recent Progress in Conformal Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Recent Progress in Conformal Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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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.

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