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

11 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

Funding

The authors would like to express their sincere gratitude to referees for their valuable suggestions. The first named author is supported by TÜBİTAK (Project Name: 'Y_EUCL2TIP' Project Number: 114F199) whereas the second author is supported by National Post-doctoral Fellowship of Science and Engineering Research Board (SERB) File No.: PDF/2017/001165, Government of India.

Funders	Funder number
National Post-doctoral Fellowship of Science and Engineering Research Board
TÜBİTAK	114F199
Science and Engineering Research Board

Keywords

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

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10.1002/mana.201700328

Cite this

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title = "On biconservative hypersurfaces in 4-dimensional Riemannian space forms",

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AU - Turgay, Nurettin Cenk

AU - Upadhyay, Abhitosh

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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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DO - 10.1002/mana.201700328

M3 - Article

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On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Abstract

Bibliographical note

Funding

Keywords

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