An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
Published on 17. April 2007
Book
Hardback
XVI, 224 pages
978-3-7643-8132-5 (ISBN)
Description
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.
Reviews / Votes
Aus den Rezensionen: "Es geht um differentialgeometrische Fragestellungen im Falle von Heisenberggruppen und verwandten Raumen ... liefert dies Modelle fur eingeschrankte Bewegungsmoglichkeiten ... gibt eine systematische Einfuhrung zu den mathematischen Aspekten der Theorie, beschreibt einige Anwendungen und fuhrt weiter zu aktuellen Forschungsthemen ... Eine umfangreiche Bibliographie liefert weitere Informationen." (V. LOSERT, in: Monatshefte fur Mathematik, January/2010, Vol. 159, Issue 1-2, S. 212)More details
Series
Edition
2007 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XVI, 224 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
1150 gr
ISBN-13
978-3-7643-8132-5 (9783764381325)
DOI
10.1007/978-3-7643-8133-2
Schweitzer Classification
Other editions
Additional editions
Luca Capogna | Donatella Danielli | Scott D. Pauls
An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
E-Book
08/2007
1st Edition
Birkhäuser
€139.90
Available for download
Content
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.