Curvature Properties of Lorentzian Manifolds with Large Isometry Groups

被引：0
作者：
Wafaa Batat
Giovanni Calvaruso
Barbara De Leo
机构：
[1] École Normale Superieure de L’Enseignement Technique d’Oran,Département de Mathématiques et Informatique
[2] University of Salento,Dipartimento di Matematica “E. De Giorgi”
来源：
Mathematical Physics, Analysis and Geometry | 2009年 / 12卷
关键词：
Lorentzian manifolds; Homogeneous spaces; Symmetric spaces; Curvature; Einstein-like metrics; 53C50; 53C20; 53C30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The curvature of Lorentzian manifolds (Mn,g), admitting a group of isometries of dimension at least 1/2n(n − 1) + 1, is completely described. Interesting behaviours are found, in particular as concerns local symmetry, local homogeneity and conformal flatness.
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页码：201 / 217
页数：16
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