ON THE PARABOLICITY OF LINEAR WEINGARTEN SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE

被引：1
|
作者：
Antonia, Railane [1 ]
de Lima, Henrique F. [2 ]
机构：
[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
[2] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 10期
关键词：
De Sitter space; parallel normalized mean curvature vector; complete linear Weingarten spacelike submanifolds; L-parabolicity; totally umbilical submanifolds and hyperbolic cylinders;
D O I：
10.2989/16073606.2021.1966545
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we deal with complete linear Weingarten spacelike submanifold immersed with parallel normalized mean curvature vector in de Sitter space S-p(n+p) of index p. Imposing appropriate restrictions on the values of the mean curvature function H, we establish a parabolicity criterion related to a suitable Cheng-Yau's modified operator and we use it to obtain sufficient conditions which guarantee that such a spacelike submanifold must be either totally umbilical or isometric to certain hyperbolic cylinders of S-p(n+p).
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收藏
页码：1589 / 1602
页数：14
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