Book Details

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

Publication year: 2007

ISBN: 978-3-7643-8133-2

Internet Resource: Please Login to download book


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.


Subject: Mathematics and Statistics, Differential Geometry, Topological Groups, Lie Groups, Manifolds and Cell Complexes (including Differencial Topology), Partial Differential Equations, Global Analysis and Analysis on Manifolds, Systems Theory, Control, Cauchy-Riemann manifold, Riemannian geometry, Sobolev space, contact geometry, differential geometry, evolution equations, geometric measure theory, immersions, manifold, minimal surface, quasiconformal mapping, sub-Riemannian geometry