We describe the universal covering space of a finite volume connected analytic pseudo-Riemannian manifold M with dimension at most 14 that admits a non-trivial isometric analytic action of the simple Lie group SL(3,R) with a dense orbit. If such a manifold is also weakly irreducible we prove that M-tilde is isometric to, or a quotient space of a simple Lie group containing SL(3,R).
1
CIMAT, Apartado Postal 402, Guanajuato 36250, Mexico
2
Universidad Autónoma de Chiapas, Carretera Emiliano Zapata Km 8, Tuxtla Gutierrez 29050, Chiapas -- Mexico
Raúl Quiroga-Barranco; Eli Roblero-Méndez. Rigidity of an Isometric SL(3,R)-Action. Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 1179-1197. http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a15/
@article{JOLT_2017_27_4_a15,
author = {Ra\'ul Quiroga-Barranco and Eli Roblero-M\'endez},
title = {Rigidity of an {Isometric} {SL(3,R)-Action}},
journal = {Journal of Lie Theory},
pages = {1179--1197},
year = {2017},
volume = {27},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a15/}
}
TY - JOUR
AU - Raúl Quiroga-Barranco
AU - Eli Roblero-Méndez
TI - Rigidity of an Isometric SL(3,R)-Action
JO - Journal of Lie Theory
PY - 2017
SP - 1179
EP - 1197
VL - 27
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a15/
ID - JOLT_2017_27_4_a15
ER -
%0 Journal Article
%A Raúl Quiroga-Barranco
%A Eli Roblero-Méndez
%T Rigidity of an Isometric SL(3,R)-Action
%J Journal of Lie Theory
%D 2017
%P 1179-1197
%V 27
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a15/
%F JOLT_2017_27_4_a15
