New characterizations of hyperbolic cylinders in semi-Riemannian space forms

被引：1
|
作者：
de Lima, Henrique F. [1 ]
dos Santos, Fabio R. [1 ]
Velasquez, Marco Antonio L. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 434卷 / 01期
关键词：
Semi-Riemannian space forms; Parallel normalized mean curvature vector; Complete linear Weingarten submanifold; Isoparametric submanifolds; Hyperbolic cylinders; CONSTANT MEAN-CURVATURE; SITTER SPACE; MAXIMAL SPACE; HYPERSURFACES; SUBMANIFOLDS; VECTOR; SURFACES;
D O I：
10.1016/j.jmaa.2015.09.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Through the study of the so-called linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector in a semi-Riemannian space form Q(p)(n+p)(c) of index p and constant sectional curvature c is an element of{-1,0,1}, our aim in this paper is establish new characterizations for the hyperbolic cylinders of Q(p)(n+p)(c). Our approach is based on the use of a Simons type formula related to an appropriated Cheng-Yau modified operator jointly with the application of suitable generalized maximum principles. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：765 / 779
页数：15
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