H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

被引：27

作者：

Turgay, Nurettin Cenk ^{[1
]}

机构：

[1] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2015年 / 194卷 / 06期

关键词：

Biharmonic submanifolds; Biconservative maps; Null 2-type submanifolds; CLASSIFICATION;

D O I：

10.1007/s10231-014-0445-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on H-hypersurfaces. Then, we give the complete classification of H-hypersurfaces with three distinct curvatures. We also give some explicit examples.

引用

页码：1795 / 1807

页数：13

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