An Introduction To The Heisenberg Group And The Sub-riemannian Isoperimetric Problem (progress In Mathematics)
by Luca Capogna /
2007 / English / PDF
4.7 MB Download
This book gives an up-to-date account of progress on Pansu's
celebrated problem on the sub-Riemannian isoperimetric profile of
the Heisenberg group. It also serves as an introduction to the
general field of sub-Riemannian geometric analysis. It develops
the methods and tools of sub-Riemannian differential geometry,
nonsmooth analysis, and geometric measure theory suitable for
attacks on Pansu's problem.
This book gives an up-to-date account of progress on Pansu's
celebrated problem on the sub-Riemannian isoperimetric profile of
the Heisenberg group. It also serves as an introduction to the
general field of sub-Riemannian geometric analysis. It develops
the methods and tools of sub-Riemannian differential geometry,
nonsmooth analysis, and geometric measure theory suitable for
attacks on Pansu's problem.
