An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem 论文

2007Birkhäuser Basel eBooks引用 409
Geometric Analysis and Curvature FlowsNumerical methods in inverse problemsAdvanced Mathematical Modeling in Engineering

详细信息

发表期刊/会议
Birkhäuser Basel eBooks
发表日期
2007-01-01
发表年份
2007

关键词

Geometric Analysis and Curvature FlowsNumerical methods in inverse problemsAdvanced Mathematical Modeling in Engineering

摘要

The Isoperimetric Problem in Euclidean Space.- The Heisenberg Group and Sub-Riemannian Geometry.- Applications of Heisenberg Geometry.- Horizontal Geometry of Submanifolds.- Sobolev and BV Spaces.- Geometric Measure Theory and Geometric Function Theory.- The Isoperimetric Inequality in ?.- The Isoperimetric Profile of ?.- Best Constants for Other Geometric Inequalities on the Heisenberg Group.