The Hypoelliptic Laplacian and Ray-Singer Metrics pdf epub mobi txt 电子书 下载 2024


The Hypoelliptic Laplacian and Ray-Singer Metrics

简体网页||繁体网页
Bismut, Jean-Michel/ Lebeau, Gilles
2008-8
376
$ 62.15
9780691137322

图书标签: 数学  微分几何7  微分几何   


喜欢 The Hypoelliptic Laplacian and Ray-Singer Metrics 的读者还喜欢




点击这里下载
    


想要找书就要到 小哈图书下载中心
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-11-22

The Hypoelliptic Laplacian and Ray-Singer Metrics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

The Hypoelliptic Laplacian and Ray-Singer Metrics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

The Hypoelliptic Laplacian and Ray-Singer Metrics pdf epub mobi txt 电子书 下载 2024



图书描述

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion. The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations.The authors give the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus, which provides estimates on the hypoelliptic Laplacian's resolvent. When the deformation parameter tends to zero, the hypoelliptic Laplacian converges to the standard Hodge Laplacian of the base by a collapsing argument in which the fibers of the cotangent bundle collapse to a point. For the local index theory, small time asymptotics for the supertrace of the associated heat kernel are obtained. The Ray-Singer analytic torsion of the hypoelliptic Laplacian as well as the associated Ray-Singer metrics on the determinant of the cohomology are studied in an equivariant setting, resulting in a key comparison formula between the elliptic and hypoelliptic analytic torsions.

The Hypoelliptic Laplacian and Ray-Singer Metrics 下载 mobi epub pdf txt 电子书

著者简介


图书目录


The Hypoelliptic Laplacian and Ray-Singer Metrics pdf epub mobi txt 电子书 下载
想要找书就要到 小哈图书下载中心
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

评分

评分

评分

评分

读后感

评分

评分

评分

评分

评分

类似图书 点击查看全场最低价

The Hypoelliptic Laplacian and Ray-Singer Metrics pdf epub mobi txt 电子书 下载 2024


分享链接









相关图书




本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 qciss.net All Rights Reserved. 小哈图书下载中心 版权所有