A note on the boundary of a static Lorentzian manifold

被引：13
|
作者：
Bartolo, R
Germinario, A
Sánchez, M
机构：
[1] Politecn Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy
[2] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy
[3] Univ Granada, Fac Ciencias, Dept Geometr & Topol, Granada 18071, Spain
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2002年 / 16卷 / 02期
关键词：
geodesic; static Lorentzian manifold; boundary;
D O I：
10.1016/S0926-2245(02)00062-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we characterize the convexity of the boundary aS of a static (standard) Lorentzian manifold S in terms of Jacobi metrics. From this result, we also obtain: (1) a characterization of the convexity of aS computable from its "spacelike" part, (2) the equivalence between the variational and geometrical definitions of convexity for aS, and (3) a very precise result on existence of geodesics joining a point and a line on S. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：121 / 131
页数：11
相关论文
共 50 条
12345