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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.
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An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem, Luca Capogna
- Language
- Released
- 2007
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- Title
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Language
- English
- Authors
- Luca Capogna
- Publisher
- Birkhäuser
- Released
- 2007
- ISBN10
- 3764381329
- ISBN13
- 9783764381325
- Series
- Progress in mathematics
- Category
- Mathematics
- 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.