Multiexponential maps in Carnot groups with applications to convexity and differentiability

被引：3

作者：

Montanari, Annamaria ^{[1
]}

Morbidelli, Daniele ^{[1
]}

机构：

[1] Univ Bologna, Dipartimento Matemat, Bologna, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 01期

关键词：

Carnot groups; SubRiemannian distance; Horizontal convexity; Cone property; Pansu differentiability; GRAPHS;

D O I：

10.1007/s10231-020-00994-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze some properties of a class ofmultiexponential mapsappearing naturally in the geometric analysis of Carnot groups. We will see that such maps can be useful in at least two interesting problems: first, in relation to the analysis of some regularity properties of horizontally convex sets. Then, we will show that our multiexponential maps can be used to prove thePansu differentiabilityof the subRiemannian distance from a fixed point.

引用

页码：253 / 272

页数：20

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