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
收藏
页码：713 / 735
页数：23
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