Spacelike hypersurfaces with constant rth mean curvature in steady state type spacetimes

被引：3

作者：

Aquino C.P. ^{[1
]}

de Lima H.F. ^{[2
]}

dos Santos F.R. ^{[2
]}

Velásquez M.A.L. ^{[2
]}

机构：

[1] Departamento de Matemática, Universidade Federal do Piauí, Teresina, 64.049-550, Piauí

[2] Departamento de Matemática, Universidade Federal de Campina Grande, Campina Grande, 58.429-970, Paraíba

来源：

Journal of Geometry | 2015年 / 106卷 / 1期

关键词：

53C50; 53Z05; 83C99; Primary; 53C42; Secondary; 53B30;

D O I：

10.1007/s00022-014-0234-2

中图分类号：

学科分类号：

摘要：

We deal with spacelike hypersurfaces immersed with some constant rth mean curvature in a steady state type spacetime, that is, a generalized Robertson–Walker spacetime of the type –ℝ×etMn In this setting, supposing that the fiber Mn of the ambient space has nonnegative constant sectional curvature, we establish characterization results concerning domains of the spacelike slices {t} × Mn Afterwards, we apply such characterization results to study the uniqueness of complete spacelike hypersurfaces with one end in such a ambient space. © 2014, Springer Basel AG.

引用

页码：85 / 96

页数：11

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