Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density

被引：2
|
作者：
de Lima, Henrique F. [1 ]
Ramalho, Andre F. A. [1 ]
Velasquez, Marco A. L. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2020年 / 70卷
关键词：
Weighted Killing warped product spaces; Bakry-Emery-Ricci tensor; f-parabolic hypersurfaces; f-mean curvature; Entire Killing graphs; Mean curvature equation; THEOREM;
D O I：
10.1016/j.difgeo.2020.101623
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, our purpose is to obtain uniqueness results related to the mean curvature equation for entire Killing graphs constructed over the base P-n of a warped product of the type P-f(n) x R-rho with warping function rho and density f. For this, we establish a suitable f-parabolicity criterion and, under appropriate constraints on the Bakry-Emery-Ricci tensor and on the f-mean curvature, we prove some rigidity results concerning two-sided hypersurfaces immersed in P-f(n) x R-rho. (C) 2020 Elsevier B.V. All rights reserved.
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页数：15
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