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An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem书籍详细信息

ISBN：9783764381325
作者：Luca Capogna / Donatella Danielli / Scott D. Pauls / Jeremy T. Tyson
出版社：Birkhäuser Basel
出版时间：2007-5-21
页数：240
价格：USD 79.95
纸张：暂无纸张
装帧：Hardcover
开本：暂无开本
语言：暂无语言
丛书：Progress in Mathematics
适合人群：Academics, Mathematicians, Physicists, Graduate Students in Mathematics and Physics, Researchers interested in Geometry and Quantum Mechanics
TAG：Group Theory / Mathematics / Quantum Mechanics / Heisenberg Group / Sub-Riemannian Geometry / Isoperimetric Problem
豆瓣评分：暂无豆瓣评分
更新时间：2025-05-18 19:20:07

内容简介：

This book provides an introduction to the basics of sub-Riemannian differential geometry and geometric analysis in the Heisenberg group, focusing primarily on the current state of knowledge regarding Pierre Pansu's celebrated 1982 conjecture regarding the sub-Riemannian isoperimetric profile. It presents a detailed description of Heisenberg submanifold geometry and geometric measure theory, which provides an opportunity to collect for the first time in one location the various known partial results and methods of attack on Pansu's problem. As such it serves simultaneously as an introduction to the area for graduate students and beginning researchers, and as a research monograph focused on the isoperimetric problem suitable for experts in the area.

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