Spacelike Hypersurfaces in Spatially Parabolic Standard Static Spacetimes and Calabi-Bernstein-Type Problems

被引：6

作者：

Pelegrin, Jose A. S. ^{[1
,3
]}

Romero, Alfonso ^{[1
]}

Rubio, Rafael M. ^{[2
]}

机构：

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

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

[3] Univ CEU San Pablo, Dept Matemat Aplicada & Estadist, Madrid 28003, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 02期

关键词：

Spacelike hypersurface; parabolicity; standard static spacetime; Calabi-Bernstein problem; CONSTANT MEAN-CURVATURE; UNIQUENESS;

D O I：

10.1007/s00009-019-1322-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Complete spacelike hypersurfaces in spatially parabolic standard static spacetimes are studied. Under natural boundedness assumptions, we show how the parabolicity of the base is inherited by any spacelike hypersurface and vice versa. Moreover, we give new uniqueness and non-existence results for complete spacelike hypersurfaces in these ambient spacetimes as well as solve new Calabi-Bernstein-type problems.

引用

页数：15

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