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

共 50 条

[11] On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index
Avila, Carlos
Navarro, Matias
Palmas, Oscar
Solis, Didier A.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2023, 16 (01): : 304 - 333
[12] Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms
Navarro, Matias
Ruiz-Hernandez, Gabriel
Solis, Didier A.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2016, 49 : 473 - 495
[13] P.J.!Ryan's problem in semi-Riemannian space forms
Defever, F
Deszcz, R
Sentürk, Z
Verstraelen, L
Yaprak, S
GLASGOW MATHEMATICAL JOURNAL, 1999, 41 : 271 - 281
[14] THE GEOMETRY AT INFINITY OF LW-SPACELIKE SUBMANIFOLDS IN SEMI-RIEMANNIAN SPACE FORMS
Velasquez, Marco Antonio Lazaro
COLLOQUIUM MATHEMATICUM, 2024, 175 (02)
[15] A NEW CLASS OF SEMI-RIEMANNIAN SUBMERSIONS
Vilcu, G. E.
ROMANIAN JOURNAL OF PHYSICS, 2009, 54 (9-10): : 815 - 821
[16] On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products
Zonglao Zhang
Proceedings - Mathematical Sciences, 2012, 122 : 385 - 397
[17] On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products
Zhang, Zonglao
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2012, 122 (03): : 385 - 397
[18] On semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric metric connection
Yuecesan, Ahmet
KUWAIT JOURNAL OF SCIENCE & ENGINEERING, 2008, 35 (1A): : 53 - 68
[19] Semi-Riemannian Cones
Leistner, Thomas
GEOMETRY, LIE THEORY AND APPLICATIONS, 2022, 16 : 193 - 222
[20] ON COMPLETE SPACELIKE SUBMANIFOLDS IN SEMI-RIEMANNIAN SPACE FORMS WITH PARALLEL NORMALIZED MEAN CURVATURE VECTOR
Chao, Xiaoli
KODAI MATHEMATICAL JOURNAL, 2011, 34 (01) : 42 - 54

← 1 2 3 4 5 →