On the Uniqueness of Complete Two-Sided Hypersurfaces Immersed in a Class of Weighted Warped Products

被引：7
|
作者：
de Lima, Henrique F. [1 ]
Oliveira, Arlandson M. [1 ]
Velaquez, Marco Antonio L. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, PB, Brazil
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2017年 / 27卷 / 03期
关键词：
Weighted warped product; Bakry-Emery-Ricci tensor; Drifted Laplacian; F-mean curvature; Complete two-sided hypersurfaces; Entire graphs; COMPLETE RIEMANNIAN-MANIFOLDS; MEAN-CURVATURE; GEOMETRIC APPLICATIONS; VECTOR-FIELDS; THEOREM; SPACES;
D O I：
10.1007/s12220-017-9761-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this work is to study the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped product spaces, via application of some appropriate maximum principles. In particular, we obtain Moser-Bernstein type results concerning entire graphs in these ambient spaces.
引用
收藏
页码：2278 / 2301
页数：24
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