Biconservative Hypersurfaces in Space Forms (M)over-barn+1 (c)

被引：0

作者：

Gupta, Ram Shankar ^{[1
]}

Arvanitoyeorgos, Andreas ^{[2
,3
]}

机构：

[1] Guru Gobind Singh Indraprastha Univ, Univ Sch Basic & Appl Sci, Sect 16C, New Delhi 110078, India

[2] Univ Patras, Dept Math, Rion 26504, Greece

[3] Hellen Open Univ, Aristotelous 18, Patras 26335, Greece

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 06期

关键词：

Space form; mean curvature vector; biconservative hypersurface; biharmonic submanifold; LORENTZ HYPERSURFACES; SURFACES;

D O I：

10.1007/s00009-022-02134-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study biconservative hypersurfaces M in space forms Mn+1 (c) with four distinct principal curvatures whose second fundamental form has constant norm. We prove that every such hypersurface has constant mean curvature and constant scalar curvature.

引用

页数：20

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