Curvature estimates for graphs in warped product spaces

被引：0
|
作者：
Barreto, Alexandre P. [1 ]
Coswosck, Fabiani A. [2 ]
Hartmann, Luiz [1 ]
机构：
[1] Univ Fed Sao Carlos UFSCar, Dept Math, Sao Carlos, Brazil
[2] Univ Fed Espirito Santa UFES, Vitoria, Brazil
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 86卷
基金：
巴西圣保罗研究基金会;
关键词：
Warped products; Graphs over Riemannian domains; Mean curvature; Scalar curvature; Norm of the second fundamental form; CONSTANT MEAN-CURVATURE; COMPLETE VERTICAL GRAPHS; COMPLETE HYPERSURFACES; RIEMANNIAN-MANIFOLDS; SURFACES; UNIQUENESS; ANGLE;
D O I：
10.1016/j.difgeo.2022.101973
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using these estimates, we obtain some results on pseudo-hyperbolic spaces and space forms.(c) 2022 Elsevier B.V. All rights reserved.
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页数：21
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