On the Gauss map of complete spacelike hypersurfaces with bounded mean curvature in the Minkowski space

被引：4

作者：

de Lima, Henrique Fernandes ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58109970 Campina Grande, Paraiba, Brazil

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2011年 / 18卷 / 03期

关键词：

Minkowski space; Complete spacelike hypersurface; Mean curvature; Gauss map; RIEMANNIAN MANIFOLDS;

D O I：

10.36045/bbms/1313604456

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, under an appropriated restriction on the Gauss map, we obtain an extension of the Xin-Aiyama theorem concerning to complete spacelike hypersurfaces immersed with bounded mean curvature in the Minkowski space.

引用

页码：537 / 541

页数：5

共 50 条

[1] GAUSS MAPS OF SPACELIKE CONSTANT MEAN-CURVATURE HYPERSURFACES OF MINKOWSKI SPACE
CHOI, HOI
TREIBERGS, A
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1990, 32 (03) : 775 - 817
[2] Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space
Bayard, Pierre
Schnuerer, Oliver C.
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2009, 627 : 1 - 29
[3] A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
Huai-Dong Cao
Ying Shen
Shunhui Zhu
[J]. Calculus of Variations and Partial Differential Equations, 1998, 7 : 141 - 157
[4] A Bernstein theorem for complete spacelike hypersurfaces of constant mean curvature in Minkowski space
Wu, BQ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (01) : 211 - 215
[5] THE GAUSS MAP OF A SPACELIKE CONSTANT MEAN-CURVATURE HYPERSURFACE OF MINKOWSKI SPACE
PALMER, B
[J]. COMMENTARII MATHEMATICI HELVETICI, 1990, 65 (01) : 52 - 57
[6] Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
Guan, Bo
Jian, Huai-Yu
Schoen, Richard M.
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 595 : 167 - 188
[7] A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
Cao, HD
Shen, Y
Zhu, SH
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1998, 7 (02) : 141 - 157
[8] On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz–Minkowski space
Juan A. Aledo
Luis J. Alías
[J]. manuscripta mathematica, 2000, 101 : 401 - 413
[9] SPACELIKE HYPERSURFACES WITH CONSTANT GAUSS-KRONECKER CURVATURE IN THE MINKOWSKI SPACE
LI, AM
[J]. ARCHIV DER MATHEMATIK, 1995, 64 (06) : 534 - 551
[10] THE GAUSS MAP AND SPACELIKE SURFACES WITH PRESCRIBED MEAN-CURVATURE IN MINKOWSKI 3-SPACE
AKUTAGAWA, K
NISHIKAWA, S
[J]. TOHOKU MATHEMATICAL JOURNAL, 1990, 42 (01) : 67 - 82

← 1 2 3 4 5 →