Existence of tangent lines to Carnot-Carath,odory geodesics

被引：12
|
作者：
Monti, Roberto [1 ]
Pigati, Alessandro [2 ,3 ]
Vittone, Davide [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy
[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy
[3] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 03期
关键词：
REGULARITY; NILPOTENT;
D O I：
10.1007/s00526-018-1361-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that length minimizing curves in Carnot-Carath,odory spaces possess at any point at least one tangent curve (i.e., a blow-up in the nilpotent approximation) equal to a straight horizontal line.
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页数：18
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