Calabi-Bernstein type results for complete constant mean curvature spacelike hypersurfaces in spatially open Generalized Robertson-Walker spacetimes

被引：0

作者：

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

机构：

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 114卷 / 01期

关键词：

Constant mean curvature; Spacelike hypersurface; Generalized Robertson-Walker spacetime; MAXIMAL HYPERSURFACES; UNIQUENESS;

D O I：

10.1007/s13398-019-00746-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study complete constant mean curvature spacelike hypersurfaces in spatially open Generalized Robertson-Walker spacetimes. Under appropriate geometric assumptions we prove new parametric uniqueness results as well as obtain very general Calabi-Bernstein type results for the constant mean curvature equation for spacelike graphs in these ambient spacetimes.

引用

页数：13

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