ON eta-BIHARMONIC HYPERSURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS

doi:10.1515/ms-2022-0086

	ON eta-BIHARMONIC HYPERSURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS
	Du, Li 1; Ren, Jinjun2
	2022-10-26
发表期刊	MATHEMATICA SLOVACA
卷号	72 期号:5 页码:1259-1272
摘要	In this paper, eta-biharmonic hypersurfaces with constant scalar curvature in 5-dimensional pseudo-Riemannian space forms are studied. We prove that such hypersurfaces with diagonalizable shape operator have constant mean curvature, which gives an affirmative partial answer to the conjecture in [Arvanitoyeorgos, A.-Kaimakamis, F. G.: Hypersurfaces of type M-2(3) in E-2(4) with proper mean curvature vector, J. Geom. Phys. 63 (2013), 99-106]. As a result, we give several partial classification results. (C) 2022 Mathematical Institute Slovak Academy of Sciences.
关键词	Pseudo-Riemannian space forms eta-biharmonic hypersurfaces diagonalizable shape operator constant scalar curvature
DOI	10.1515/ms-2022-0086
收录类别	SCIE
ISSN	0139-9918
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000868352700010
出版者	WALTER DE GRUYTER GMBH
原始文献类型	Article
EISSN	1337-2211
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/33020
专题	信息工程与人工智能学院
作者单位	1.Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China; 2.Lanzhou Univ Finance & Econ, Coll Informat Engn, Lanzhou 730020, Peoples R China
推荐引用方式 GB/T 7714	Du, Li,Ren, Jinjun. ON eta-BIHARMONIC HYPERSURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS[J]. MATHEMATICA SLOVACA,2022,72(5):1259-1272.
APA	Du, Li,&Ren, Jinjun.(2022).ON eta-BIHARMONIC HYPERSURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS.MATHEMATICA SLOVACA,72(5),1259-1272.
MLA	Du, Li,et al."ON eta-BIHARMONIC HYPERSURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS".MATHEMATICA SLOVACA 72.5(2022):1259-1272.