Classification of ((Sp)over-tilde(n, R) x (Sp)over-tilde(1, R)-manifolds

被引：0

作者：

Olafsson, Gestur ^{[1
]}

Roblero-Mendez, Eli ^{[2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Univ Autonoma Chiapas, CONACYT, Fac Ciencias Fis & Matemat, Emiliano Zapata Km 8-5, Tuxtla Gutierrez 29050, Chiapas, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2019年 / 25卷 / 03期

关键词：

Semisimple Lie groups; Rigidity results; Pseudo-Riemannian manifolds; Isometric actions;

D O I：

10.1007/s40590-018-0213-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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) over tilde (n, R)x (Sp) over tilde (1, R) acts isometrically with a dense orbit on M, where the (Sp) over tilde (1, R)-orbits are non-degenerated and its dimension satisfies dim(M) <= (n + 1) (2n + 3).

引用

页码：713 / 735

页数：23

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