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

页码：765 / 779

页数：15

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