An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (Progress in Mathematics)
1 edition
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Publication
2007-05-21 - Birkhäuser Basel
Language
English
Word Count
55,750 words, Guess
Page Count
223 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL12867097M
- ISBN-139783764381325
- ISBN-103764381329
- OCLC Control Number123114806
- OCLC Control Numberintroductiontohe00capo
and 2 more
- Library of Congress Control Number2007922258
- Goodreads1606725
Classifications
- LCCQA649 .I58 2007
Description
"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."--BOOK JACKET.
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