HYPERSURFACES OF MINKOWSKI SPACE WITH CONSTANT MEAN CURVATURE

被引：0

作者：

Li, Jintang ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Fujian, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2013年 / 39卷 / 01期

关键词：

Finsler manifolds; Minkowski space; Hypersurfaces; Mean curvature; FINSLER GEOMETRY; SUBMANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-n be a compact hypersurface of Minkowski space (Vn+1, (F) over bar) with parallel unit normal vector and constant mean curvature H. In this paper, we prove that if the norm square S of the second fundamental form of M satisfies S <= n(2)H(2)/n-1, then M is either an Euclidean sphere (H not equal 0) or a locally Minkowski space (H = 0).

引用

页码：137 / 145

页数：9

共 50 条

[21] On the scalar curvature of constant mean curvature hypersurfaces in space forms
Alias, Luis J.
Carolina Garcia-Martinez, S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (02) : 579 - 587
[22] Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature
Lopez, Rafael
Demir, Esma
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (09): : 1349 - 1361
[23] Sphere-foliated minimal and constant mean curvature hypersurfaces in space forms and Lorentz-Minkowski space
Park, SH
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2002, 32 (03) : 1019 - 1044
[24] Parabolic hypersurfaces with constant mean curvature in Euclidean space
Hernandez, Mario
Melendez, Josue
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021, 28 (02) : 161 - 177
[25] THE MEAN CURVATURES ON THE TUBULAR HYPERSURFACES IN A SPACE OF CONSTANT CURVATURE
CHEN, WH
LECTURE NOTES IN MATHEMATICS, 1989, 1369 : 49 - 62
[26] Umbilicity of constant mean curvature hypersurfaces into space forms
Bezerra, A. C.
Manfio, F.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
[27] Minimizing constant mean curvature hypersurfaces in hyperbolic space
Coskunuzer, Baris
GEOMETRIAE DEDICATA, 2006, 118 (01) : 157 - 171
[28] HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A LORENTZIAN SPACE FORM
Shu, S.
Han, A. Yi
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) : 163 - 178
[29] Moduli Space Theory of Constant Mean Curvature Hypersurfaces
Jleli, Mohamed
ADVANCED NONLINEAR STUDIES, 2009, 9 (01) : 29 - 68
[30] Minimizing Constant Mean Curvature Hypersurfaces in Hyperbolic Space
Baris Coskunuzer
Geometriae Dedicata, 2006, 118 : 157 - 171

← 1 2 3 4 5 →