Title

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

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