RIEMANNIAN DOMAINS AND COMPLETE SPACELIKE HYPERSURFACES WITH ONE END IN STEADY STATE TYPE SPACETIMES

被引：0
作者：
Ramalho, Andre F. A. [1 ]
De Lima, Henrique F. [1 ]
Velasquez, Marco A. L. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
COLLOQUIUM MATHEMATICUM | 2024年 / 176卷 / 01期
关键词：
steady state type spacetimes; ( r; s )-linear Weingarten spacelike hypersurfaces; Riemannian domains; complete spacelike hypersurfaces with one end; CONSTANT MEAN-CURVATURE; UNIQUENESS; RIGIDITY;
D O I：
10.4064/cm9138-4-2024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with generalized linear Weingarten spacelike hypersurfaces immersed into a steady state type spacetime - R x e t M n , namely, spacelike hypersurfaces of - R x e t M n that admit a linear combination of their higher order mean curvatures. First, supposing that the fiber M n has nonnegative constant sectional curvature, we establish characterization results concerning Riemannian domains of - R x e t M n , namely, domains of the spacelike slices { t } x M n , with t is an element of R n . Then we apply such characterizations to study the uniqueness of complete generalized linear Weingarten spacelike hypersurfaces with one end.
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页码：27 / 45
页数：20
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