SPACELIKE GRAPHS OF FINITE TOTAL CURVATURE IN CERTAIN 3-DIMENSIONAL GENERALIZED ROBERTSON-WALKER SPACETIME

被引：3

作者：

Romero, Alfonso ^{[1
]}

Rubio, Rafael M. ^{[2
]}

Salamanca, Juan J. ^{[2
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

[2] Univ Cordoba, Dept Matemat, E-14071 Cordoba, Spain

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 73卷 / 02期

关键词：

spacelike surface; surface of finite total curvature; mean curvature function; Calabi-Bernstein problem; generalized Robertson-Walker spacetime; CONSTANT MEAN-CURVATURE; HYPERSURFACES;

D O I：

10.1016/S0034-4877(14)60043-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Several characterizations for the entire solutions of a nonlinear inequality on a complete surface with total finite curvature, arising in the study of spacelike surfaces in generalized Robertson-Walker spacetimes, are given. In the parametric case, some uniqueness results are obtained as an application.

引用

页码：241 / 254

页数：14

共 13 条

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