Regularity results for sub-Riemannian geodesics

被引：15
|
作者：
Monti, Roberto [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 49卷 / 1-2期
关键词：
53C17; 49K30;
D O I：
10.1007/s00526-012-0592-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study length minimality of abnormal curves in rank 2 sub-Riemannian manifolds of polynomial type. As a corollary, we prove a regularity result for Carnot-Carath,odory geodesics in a class of rank 2 Carnot groups.
引用
收藏
页码：549 / 582
页数：34
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