An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem - Progress in Mathematics 259 (Hardback)

Luca Capogna (author), Donatella Danielli (author), Scott D. Pauls (author), Jeremy Tyson (author)

£89.99

Hardback 224 Pages / Published: 17/04/2007

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Synopsis

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.

Publisher: Birkhauser Verlag AG
ISBN: 9783764381325
Number of pages: 224
Weight: 1150 g
Dimensions: 235 x 155 x 14 mm
Edition: 2007 ed.

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"Es geht um differentialgeometrische Fragestellungen im Falle von Heisenberggruppen und verwandten Raumen ... liefert dies Modelle fur eingeschrankte Bewegungsmoeglichkeiten ... 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)