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

Gebonden Engels 2007 2007e druk 9783764381325
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Samenvatting

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.

Specificaties

ISBN13:9783764381325
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:224
Uitgever:Birkhäuser Basel
Druk:2007

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Inhoudsopgave

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.

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