An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
The past decade has witnessed a dramatic and widespread expansion of interest and activity in sub-Riemannian (Carnot-Caratheodory) geometry, motivated both internally by its role as a basic model in the modern theory of analysis on metric spaces, and externally through the continuous development of...
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| Autori principali: | , , , , |
|---|---|
| Altri autori: | |
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Serie: | Progress in Mathematics
259 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression de ce document génère 239 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Numérisation de l'édition de Basel : Birkhäuser , cop. 2007 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem, Luca Capogna, Donatella Danielli, Scott D. Pauls... [et al.], Basel, Birkhäuser, 2007, 1 vol. (XVI-223 p.), Progress in mathematics, 978-3-7643-8132-5 |
Sommario:
- 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