Existence of isoperimetric regions in contact sub-Riemannian manifolds

被引：25

作者：

Galli, Matteo ^{[1
]}

Ritore, Manuel ^{[1
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 397卷 / 02期

关键词：

Sub-Riemannian geometry; Contact geometry; Isoperimetric regions; Isoperimetric profile; Carnot-Caratheodory distance; FINITE PERIMETER; FINE PROPERTIES; VECTOR-FIELDS; INEQUALITIES; CURVATURE; THEOREMS; SETS;

D O I：

10.1016/j.jmaa.2012.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence of regions minimizing perimeter under a volume constraint in contact sub-Riemannian manifolds whose quotient by the group of contact transformations preserving the sub-Riemannian metric is compact. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：697 / 714

页数：18

共 50 条

[31] ON THE INDUCED GEOMETRY ON SURFACES IN 3D CONTACT SUB-RIEMANNIAN MANIFOLDS
Barilari, Davide
Boscain, Ugo
Cannarsa, Daniele
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2022, 28
[32] Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds
Barilari, Davide
Boscain, Ugo
Cannarsa, Daniele
Habermann, Karen
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 57 (03): : 1388 - 1410
[33] Sub-Riemannian Curvature in Contact Geometry
Agrachev, Andrei
Barilari, Davide
Rizzi, Luca
JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (01) : 366 - 408
[34] Intrinsic complements of equiregular sub-Riemannian manifolds
Hladky, Robert K.
GEOMETRIAE DEDICATA, 2014, 173 (01) : 89 - 103
[35] Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds
Enrico Le Donne
Danka Lučić
Enrico Pasqualetto
Potential Analysis, 2023, 59 : 349 - 374
[36] ON CONTACT SUB-RIEMANNIAN SYMMETRICAL SPACES
FALBEL, E
GORODSKI, C
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1995, 28 (05): : 571 - 589
[37] Sub-Riemannian Curvature in Contact Geometry
Andrei Agrachev
Davide Barilari
Luca Rizzi
The Journal of Geometric Analysis, 2017, 27 : 366 - 408
[38] Sub-Riemannian Geometry and Geodesics in Banach Manifolds
Arguillere, Sylvain
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (03) : 2897 - 2938
[39] A CONVERGENCE TO BROWNIAN MOTION ON SUB-RIEMANNIAN MANIFOLDS
Gordina, Maria
Laetsch, Thomas
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (09) : 6263 - 6278
[40] Sub-Riemannian metrics for quantum Heisenberg manifolds
Weaver, N
JOURNAL OF OPERATOR THEORY, 2000, 43 (02) : 223 - 242

← 1 2 3 4 5 →