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arXiv · 1603.01577

Rigidity of an Isometric $SL(3,\mathbb{R})$-Action

Raul Quiroga-Barranco·Eli Roblero-Méndez
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Abstract

We characterize the universal covering of connected analytic pseudo-Riemannian manifolds which admit a non-trivial and isometric action of the simple Lie group $SL(3,\mathbb{R})$ with a dense orbit preserving a finite volume. If such manifold is also weakly irreducible we prove that $M$ is isometric to, or a quotient space of, a simple Lie group containing $SL(3,\mathbb{R})$.

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Raul Quiroga-Barranco, Eli Roblero-Méndez. 2016-03-04. Rigidity of an Isometric $SL(3,\mathbb{R})$-Action. https://arxiv.org/abs/1603.01577

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