Complete minimal hypersurfaces in the hyperbolic space H4 with vanishing Gauss-Kronecker curvature

被引：8

作者：

Hasanis, T. ^{[1
]}

Savas-Halilaj, A. ^{[1
]}

Vlachos, T. ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 06期

关键词：

hyperbolic space; minimal hypersurface; second fundamental form; Gauss-Kronecker curvature; stationary surface;

D O I：

10.1090/S0002-9947-07-04231-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space H-4 with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, a nowhere vanishing second fundamental form and a scalar curvature bounded from below.

引用

页码：2799 / 2818

页数：20

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