Classification of (Sp ~ (n, R) × Sp ~ (1 , R)) -manifolds
Document Type
Article
Publication Date
11-1-2019
Abstract
Let M be an analytic complete finite volume pseudo-Riemannian manifold. We characterize the structure of the manifold M assuming that the Lie group Sp ~ (n, R) × Sp ~ (1 , R) acts isometrically with a dense orbit on M, where the Sp ~ (1 , R) -orbits are non-degenerated and its dimension satisfies dim (M) ≤ (n+ 1) (2 n+ 3).
Publication Source (Journal or Book title)
Boletin de la Sociedad Matematica Mexicana
First Page
713
Last Page
735
Recommended Citation
Ólafsson, G., & Roblero-Méndez, E. (2019). Classification of (Sp ~ (n, R) × Sp ~ (1 , R)) -manifolds. Boletin de la Sociedad Matematica Mexicana, 25 (3), 713-735. https://doi.org/10.1007/s40590-018-0213-y
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