Classification of (\widetildeSp(n,ℝ)×\widetildeSp(1,ℝ))-Manifolds

2016/03/17 by Ólafsson, Gestur, Roblero-Méndez, Eli
#53C24 #53C50 #57S20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.05679

Abstract

Let M be an analytic complete finite volume pseudo-Riemannian manifold and \widetildeSp(n,ℝ)×\widetildeSp(1,ℝ) a connected semisimple Lie group such that its Lie algebra is \mathfraksp(n,ℝ)⊕\mathfraksp(1,ℝ). We characterize the structure of the manifold M assuming that the Lie group \widetildeSp(n,ℝ)×\widetildeSp(1,ℝ) acts isometrically on M and that its dimension satisfies 3+n(2n+1)

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