Non-minimality of spirals in sub-Riemannian manifolds

被引：0
|
作者：
Roberto Monti
Alessandro Socionovo
机构：
[1] Università di Padova,Dipartimento di Matematica “Tullio Levi
来源：
Calculus of Variations and Partial Differential Equations | 2021年 / 60卷
关键词：
53C17; 49K30; 28A75; 49K21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that in analytic sub-Riemannian manifolds of rank 2 satisfying a commutativity condition spiral-like curves are not length minimizing near the center of the spiral. The proof relies upon the delicate construction of a competing curve.
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