Topics in sub-Riemannian geometry

被引：9

作者：

Agrachev, A. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Int Sch Adv Studies SISSA, Steklov Math Inst, Trieste, Italy

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2016年 / 71卷 / 06期

关键词：

geodesic; curvature; sub-Riemannian geometry; SPHERE;

D O I：

10.1070/RM9744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sub-Riemannian geometry is the geometry of spaces with non-holonomic constraints. This paper presents an informal survey of some topics in this area, starting with the construction of geodesic curves and ending with a recent definition of curvature.

引用

页码：989 / 1019

页数：31

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