Complete spacelike submanifolds with parallel mean curvature vector in a semi-Riemannian space form

被引:8
|
作者
Brasil, A.
Chaves, Rosa M. B.
Mariano, M.
机构
[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05508090 Sao Paulo, Brazil
[3] Univ Fed Maranhao, Dept Matemat, BR-65085580 Sao Luis, MA, Brazil
关键词
parallel mean curvature vector; spacelike submanifolds; semi-Riemannian space form;
D O I
10.1016/j.geomphys.2005.11.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work we obtain a gap theorem for spacelike submanifolds with parallel mean curvature vector in a semi-Riemannian space form. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:2177 / 2188
页数:12
相关论文
共 50 条
  • [31] GAP TYPE RESULTS FOR SPACELIKE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR
    Barboza, Weiller F. C.
    De Lima, Henrique F.
    Velasquez, Marco Antonio L.
    [J]. MATHEMATICA SCANDINAVICA, 2022, 128 (03) : 435 - 450
  • [32] Spacelike submanifolds with parallel Gaussian mean curvature vector: rigidity and nonexistence
    da Silva, Danilo F.
    Lima, Eraldo A., Jr.
    de Lima, Henrique F.
    [J]. MANUSCRIPTA MATHEMATICA, 2024, 173 (1-2) : 451 - 462
  • [33] Submanifolds with parallel mean curvature vector in pinched Riemannian manifolds
    Fontenele, F
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1997, 177 (01) : 47 - 70
  • [34] Curvature-adapted submanifolds of semi-Riemannian groups
    Camarinha, Margarida
    Raffaelli, Matteo
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2023, 34 (09)
  • [35] Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector
    Barboza, Weiller F. C.
    de Lima, Henrique F.
    Velasquez, Marco Antonio L.
    [J]. POTENTIAL ANALYSIS, 2024, 60 (01) : 27 - 43
  • [36] Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector
    Weiller F. C. Barboza
    Henrique F. de Lima
    Marco Antonio L. Velásquez
    [J]. Potential Analysis, 2024, 60 : 27 - 43
  • [37] On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product
    Wang, Yaning
    Liu, Ximin
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [38] Spacelike submanifolds with parallel mean curvature vector in Sqn+p(1)
    D. Yang
    L. Li
    [J]. Mathematical Notes, 2016, 100 : 298 - 308
  • [39] Spacelike submanifolds with parallel mean curvature vector in a de Sitter space Sqn+p(c)
    Chen, Junfeng
    Liu, Sanyang
    Shu, Shichang
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01):
  • [40] A Characterization of Linear Weingarten Submanifolds in a Semi-Riemannian Space Form with Arbitrary Index
    Yang, Dan
    Fu, Yu
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (06)