NEW CHARACTERIZATIONS OF COMPLETE SPACELIKE SUBMANIFOLDS IN SEMI-RIEMANNIAN SPACE FORMS

被引：20

作者：

Camillo Camargo, Fernanda Ester ^{[1
]}

Barreiro Chaves, Rosa Maria ^{[2
]}

Machado de Sousa, Lutz Amancio, Jr. ^{[3
]}

机构：

[1] Univ Fed Ceara, Dept Math, BR-60455760 Fortaleza, Ceara, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05508090 Sao Carlos, SP, Brazil

[3] Univ Fed Estado Rio de Janeiro, Dept Matemat & Estatist, BR-22290240 Rio De Janeiro, Brazil

来源：

KODAI MATHEMATICAL JOURNAL | 2009年 / 32卷 / 02期

关键词：

De Sitter space; complete spacelike hypersurfaces; constant scalar curvature; CONSTANT SCALAR CURVATURE; MEAN-CURVATURE; SITTER SPACE; RIGIDITY THEOREMS; HYPERSURFACES; VECTOR;

D O I：

10.2996/kmj/1245982904

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study n-dimensional complete spacelike submanifolds with constant normalized scalar curvature immersed in semi-Riemannian space forms. By extending Cheng-Yau's technique to these ambients, we obtain results to such submanifolds satisfying certain conditions on both the squared norm of the second fundamental form and the mean curvature. We also characterize compact non-negatively curved submanifolds in De Sitter space of index p.

引用

页码：209 / 230

页数：22

共 50 条

[41] A fundamental theorem for submanifolds in semi-Riemannian warped products
David Ribeiro, Carlos Augusto
de Melo, Marcos Ferreira
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 144 : 108 - 120
[42] GENERIC LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS
Jha, Nand Kishor
Kaur, Jatinder
Kumar, Sangeet
Pruthi, Megha
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (03): : 847 - 863
[43] LIGHT-LIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS
BEJANCU, A
DUGGAL, KL
ACTA APPLICANDAE MATHEMATICAE, 1995, 38 (02) : 197 - 215
[44] Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold
Atceken, Mehmet
Kilic, Erol
KODAI MATHEMATICAL JOURNAL, 2007, 30 (03) : 361 - 378
[45] 2-symmetric lightlike hypersurfaces in semi-Riemannian space forms
Cengiz, Suleyman
Gorgulu, Ali
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (10)
[46] An ODE reduction method for the semi-Riemannian Yamabe problem on space forms
Fernandez, Juan Carlos
Palmas, Oscar
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 209
[47] SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS
Kilic, Erol
Sahin, Bayram
Keles, Sadik
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2011, 4 (02): : 120 - 135
[48] SEMI-SLANT LIGHTLIKE SUBMANIFOLDS OF GOLDEN SEMI-RIEMANNIAN MANIFOLDS
Kumar, Sachin
Yadav, Akhilesh
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 49 (01): : 141 - 158
[49] SCREEN SEMI SLANT LIGHTLIKE SUBMANIFOLDS OF GOLDEN SEMI-RIEMANNIAN MANIFOLDS
Yadav, Akhilesh
Kumar, Sachin
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4A): : 823 - 841
[50] Screen slant lightlike submanifolds of metallic semi-Riemannian manifolds
Lone, Mehraj Ahmad
Harry, Idrees Fayaz
AFRIKA MATEMATIKA, 2023, 34 (04)

← 1 2 3 4 5 →