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

共 50 条

[1] Actions of semisimple Lie groups with stationary measure
Nevo, A
Zimmer, RJ
[J]. RIGIDITY IN DYNAMICS AND GEOMETRY: CONTRIBUTIONS FROM THE PROGRAMME ERGODIC THEORY, GEOMETRIC RIGIDITY AND NUMBER THEORY, 2002, : 321 - 343
[2] A structure theorem for actions of semisimple Lie groups
Nevo, A
Zimmer, RJ
[J]. ANNALS OF MATHEMATICS, 2002, 156 (02) : 565 - 594
[3] On differential invariants of actions of semisimple Lie groups
Bibikov, Pavel
Lychagin, Valentin
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2014, 85 : 99 - 105
[4] Actions of semisimple Lie groups on circle bundles
Witte, D
Zimmer, RJ
[J]. GEOMETRIAE DEDICATA, 2001, 87 (1-3) : 91 - 121
[5] Actions of Semisimple Lie Groups on Circle Bundles
Dave Witte
Robert J. Zimmer
[J]. Geometriae Dedicata, 2001, 87 : 91 - 121
[6] Arithmetic structure of fundamental groups and actions of semisimple Lie groups
Lubotzky, A
Zimmer, RJ
[J]. TOPOLOGY, 2001, 40 (04) : 851 - 869
[7] A geometric splitting theorem for actions of semisimple Lie groups
José Rosales-Ortega
[J]. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2021, 91 : 287 - 296
[8] A geometric splitting theorem for actions of semisimple Lie groups
Rosales-Ortega, Jose
[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2021, 91 (02): : 287 - 296
[9] Ergodic Actions of Semisimple Lie Groups on Compact Principal Bundles
Dave Witte Morris
Robert J. Zimmer
[J]. Geometriae Dedicata, 2004, 106 : 11 - 27
[10] ACTIONS OF SEMISIMPLE LIE-GROUPS AND ORBITS OF CARTAN SUBGROUPS
ZARHIN, YG
[J]. ARCHIV DER MATHEMATIK, 1991, 56 (05) : 491 - 496

← 1 2 3 4 5 →