Liouville Type Results for Two-Sided Hypersurfaces in Weighted Killing Warped Products

被引：5
|
作者：
de Lima, Henrique F. [1 ]
Lima, Eraldo, Jr. [2 ]
Medeiros, Adriano [2 ]
Santos, Marcio S. [2 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2018年 / 49卷 / 01期
关键词：
Killing warped products; Weighted manifolds; Bakry-Emery-Ricci tensor; Drifting Laplacian; Weighted mean curvature; Complete two-sided hypersurfaces; CONSTANT MEAN-CURVATURE; RIEMANNIAN-MANIFOLDS; PROPERTY; GEOMETRY; GRAPHS;
D O I：
10.1007/s00574-017-0043-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish Liouville type results concerning two-sided hypersurfaces immersed in a weighted Killing warped product, under suitable constraints either on the Bakry-Aemery-Ricci tensor of the base of the ambient space or on the height function of the hypersurface.
引用
收藏
页码：43 / 55
页数：13
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