Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, An. Progress in Mathematics, Volume 259.
Author:   Luca Capogna ,  Donatella Danielli ,  Scott D Pauls ,  Jeremy T Tyson
Publisher:   Springer
ISBN:  

9786611043612


Pages:   235
Publication Date:   01 January 2007
Format:   Electronic book text
Availability:   Out of stock   Availability explained
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Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, An. Progress in Mathematics, Volume 259.


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Overview

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. It presents a detailed description of Heisenberg submanifold geometry and geometric measure theory, which provides an opportunity to collect for the first time in one location the various known partial results and methods of attack on Pansu's problem. As such it serves simultaneously as an introduction to the area for graduate students and beginning researchers, and as a research monograph focused on the isoperimetric problem suitable for experts in the area.

Full Product Details

Author:   Luca Capogna ,  Donatella Danielli ,  Scott D Pauls ,  Jeremy T Tyson
Publisher:   Springer
Imprint:   Springer
ISBN:  

9786611043612


ISBN 10:   6611043616
Pages:   235
Publication Date:   01 January 2007
Audience:   General/trade ,  General
Format:   Electronic book text
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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