ACTIONS OF SEMISIMPLE LIE GROUPS PRESERVING A DEGENERATE RIEMANNIAN METRIC

被引：0

作者：

Bekkara, E. ^{[1
]}

Frances, C. ^{[2
]}

Zeghib, A. ^{[3
]}

机构：

[1] ENSET ORAN, Dept Math & Informat, El Mnaouar Oran 31000, Algeria

[2] Univ Paris 11, Math Lab, F-91405 Orsay, France

[3] Ecole Normale Super Lyon, UMPA, CNRS, F-69364 Lyon 07, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 362卷 / 05期

关键词：

Lightlike metric; lightcone; isotropic direction; GEODESIC FOLIATIONS; LORENTZ; RIGIDITY; GEOMETRY; DYNAMICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a rigidity of the lightcone in Minkowski space. It is (essentially) the unique space endowed with a lightlike metric and supporting an isometric nonproper action of a semisimple Lie group.

引用

页码：2415 / 2434

页数：20

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