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

页码：549 / 582

页数：34

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