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

共 50 条

[1] Biharmonic and biconservative hypersurfaces in space forms
Fetcu, Dorel
Oniciuc, Cezar
DIFFERENTIAL GEOMETRY AND GLOBAL ANALYSIS: IN HONOR OF TADASHI NAGANO, 2022, 777 : 65 - 90
[2] Biconservative hypersurfaces with constant scalar curvature in space forms
Fu, Yu
Hong, Min-Chun
Yang, Dan
Zhan, Xin
ANNALI DI MATEMATICA PURA ED APPLICATA, 2024,
[3] Rigidity results for compact biconservative hypersurfaces in space forms
Andronic, Stefan
Kayhan, Aykut
JOURNAL OF GEOMETRY AND PHYSICS, 2025, 212
[4] On biconservative hypersurfaces in 4-dimensional Riemannian space forms
Turgay, Nurettin Cenk
Upadhyay, Abhitosh
MATHEMATISCHE NACHRICHTEN, 2019, 292 (04) : 905 - 921
[5] ON C-BICONSERVATIVE HYPERSURFACES OF NON-FLAT RIEMANNIAN 4-SPACE FORMS
Pashaie, Firooz
HONAM MATHEMATICAL JOURNAL, 2024, 46 (02): : 237 - 248
[6] ON BICONSERVATIVE HYPERSURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS AND THEIR GAUSS MAP
Turgay, Nurettin Cenk
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2018, 103 (117): : 223 - 236
[7] Normal Forms for Rigid C2;1 Hypersurfaces M5 ⊂ C3
Chen, Zhangchi
Foo, Wei Guo
Merker, Joel
Ta, The Anh
TAIWANESE JOURNAL OF MATHEMATICS, 2021, 25 (02): : 333 - 364
[8] Biconservative Hypersurfaces in Space Forms M¯n+1(c)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{M}^{{n+1}}({c})$$\end{document}
Ram Shankar Gupta
Andreas Arvanitoyeorgos
Mediterranean Journal of Mathematics, 2022, 19 (6)
[9] Sharp upper bounds for λ1Lr of immersed hypersurfaces and their stability in space forms
Wang, Ru Shan
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (05) : 749 - 760
[10] Sharp Upper Bounds for λ1Lr of Immersed Hypersurfaces and Their Stability in Space Forms
Ru Shan WANG College of Mathematics and Computer Science
Acta Mathematica Sinica(English Series), 2008, 24 (05) : 749 - 760

← 1 2 3 4 5 →