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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| Những tác giả chính: | , , , , |
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| Tác giả khác: | |
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Loạt: | Progress in Mathematics
259 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
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 |
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| 009 | PPN123729505 | ||
| 020 | |a 9783764381332 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.55 | ||
| 082 | |a 512.482 | ||
| 084 | |a 53C17. 2010 | ||
| 084 | |a 22E30. 2010 | ||
| 084 | |a 30C65. 2010 | ||
| 100 | 1 | |a Capogna, Luca, |d 1966- | |
| 245 | 1 | 0 | |a An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem |c Luca Capogna, Scott D. Pauls, Donatella Danielli... [et al.]. |
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 259 |x 2296-505X | |
| 500 | |a L'impression de ce document génère 239 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Numérisation de l'édition de Basel : Birkhäuser , cop. 2007 | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 applications (both classical and emerging) in areas such as control theory, robotic path planning, neurobiology and digital image reconstruction. The quintessential example of a sub Riemannian structure is the Heisenberg group, which is a nexus for all of the aforementioned applications as well as a point of contact between CR geometry, Gromov hyperbolic geometry of complex hyperbolic space, subelliptic PDE, jet spaces, and quantum mechanics. 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 | ||
| 650 | |a Géométrie de Riemann | ||
| 650 | |a Groupe de Heisenberg | ||
| 650 | |a Sobolev, Espaces de | ||
| 650 | |a Inégalités isopérimétriques | ||
| 650 | |a Théorie de la mesure géométrique | ||
| 650 | |a Théorie géométrique des fonctions | ||
| 650 | |a Lie, Groupes de | ||
| 650 | |a Géométrie différentielle globale | ||
| 700 | 1 | |a Danielli, Donatella, |d 1966- |4 aut | |
| 700 | 1 | |a Pauls, Scott D. |4 aut | |
| 700 | 1 | |a Tyson, Jeremy T., |d 1972- |4 aut | |
| 700 | 1 | |a Pauls, Scott D. |4 aut | |
| 700 | 1 | |a Danielli, Donatella. |4 aut | |
| 700 | 1 | |a Tyson, Jeremy T. |4 edt | |
| 776 | 0 | |0 114332940 |t An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem |f Luca Capogna, Donatella Danielli, Scott D. Pauls... [et al.] |c Basel |n Birkhäuser |d 2007 |p 1 vol. (XVI-223 p.) |s Progress in mathematics |z 978-3-7643-8132-5 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8133-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-X4JM5QMR-4 |z Accès sur la plateforme Istex | |
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| 997 | |0 939809 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||