An introduction to the Heisenberg Group and the sub-Riemannian isoperimetric problem

Luca Capogna ... [et al.]

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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

この本の情報

書名 An introduction to the Heisenberg Group and the sub-Riemannian isoperimetric problem
著作者等 Capogna, Luca
Pauls Scott D.
Tyson Jeremy T.
Danielli Donatella
シリーズ名 Progress in mathematics
出版元 Birkhäuser
刊行年月 c2007
ページ数 xvi, 223 p.
大きさ 24 cm
ISBN 9783764381325
NCID BA81695922
※クリックでCiNii Booksを表示
言語 英語
出版国 スイス
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想