On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay; Abhitosh Upadhyay

doi:10.1002/mana.201700328

On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Nurettin Cenk Turgay, Abhitosh Upadhyay^*

^*Corresponding author for this work

Department of Mathematics Engineering

Indian Institute of Science Bangalore

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we study biconservative hypersurfaces in S ⁿ and H ⁿ . Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4-dimensional Riemannian space forms with exactly three distinct principal curvatures.

Original language	English
Pages (from-to)	905-921
Number of pages	17
Journal	Mathematische Nachrichten
Volume	292
Issue number	4
DOIs	https://doi.org/10.1002/mana.201700328
Publication status	Published - Apr 2019

Bibliographical note

Publisher Copyright:
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Keywords

Primary: 53D12; 53C42
Riemannian space forms
biconservative hypersurfaces
biharmonic submanifolds
null 2-type submanifolds

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10.1002/mana.201700328

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abstract = " In this paper, we study biconservative hypersurfaces in S n and H n . Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4-dimensional Riemannian space forms with exactly three distinct principal curvatures.",

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KW - Primary: 53D12; 53C42

KW - Riemannian space forms

KW - biconservative hypersurfaces

KW - biharmonic submanifolds

KW - null 2-type submanifolds

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On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Abstract

Bibliographical note

Keywords

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