Fat sub-Riemannian symmetric spaces: the nilpotent case

被引：1

作者：

Almeida, D. M. ^{[1
]}

Falbel, E. ^{[2
,3
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, Uberlandia, MG, Brazil

[2] Univ Paris 06, Inst Math Jussieu, Paris, France

[3] Ouragan INRIA, Paris, France

来源：

ARKIV FOR MATEMATIK | 2018年 / 56卷 / 02期

关键词：

sub-Riemannian geometry; sub-symmetric space; fat distribution; two-step nilpotent Lie algebra; CLASSIFICATION; GEOMETRY;

D O I：

10.4310/ARKIV.2018.v56.n2.a1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we start the classification of strongly bracket-generated sub-symmetric spaces. We prove a structure theorem and analyze the nilpotent case.

引用

页码：207 / 228

页数：22

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