Journal of Lie Theory

no. 4
Rigidity of an Isometric SL(3,R)-Action
Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1179-1197
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).
DOI: 10.5802/jolt.989
Classification: 22F50, 53C24, 53C50
Keywords: Simple Lie groups, pseudo-Riemannian manifolds, rigidity results 
@article{JOLT_2017_27_4_a15,
     author = {R. Quiroga-Barranco and E. 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},
     doi = {10.5802/jolt.989},
     zbl = {1384.22010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.989/}
}
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%A E. Roblero-Méndez
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%D 2017
%P 1179-1197
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R. Quiroga-Barranco; E. Roblero-Méndez. Rigidity of an Isometric SL(3,R)-Action. Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1179-1197. doi: 10.5802/jolt.989

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