An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
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.
الكلمات المفتاحية: 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
