A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abhitosh Upadhyay; Nurettin Cenk Turgay

doi:10.1016/j.jmaa.2016.07.053

A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abhitosh Upadhyay^*
, Nurettin Cenk Turgay

^*Corresponding author for this work

Department of Mathematics Engineering

Harish Chandra Research Institute
Amity University, Noida

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

16 Citations (Scopus)

Abstract

In this paper, we study biconservative hypersurfaces of index 2 in E₂⁵. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures.

Original language	English
Pages (from-to)	1703-1720
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	444
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2016.07.053
Publication status	Published - 15 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Funding

The second named author is supported by “The Scientific and Technological Research Council of Turkey (TÜBİTAK)” (Project Name: ‘Y_EUCL2TIP’ Project Number: 114F199 ). First author is supported by post-doctoral scholarship of “Harish-Chandra Research Institute (HRI)”, Department of Atomic Energy, Government of India . He is also thankful to the “Amity University, Noida, Uttar Pradesh, India” to sanction leave for his post-doctoral research in HRI.

Funders	Funder number
TÜBİTAK	114F199
Department of Atomic Energy, Government of India
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Keywords

Biconservative hypersurfaces
Biharmonic submanifolds
Null 2-type submanifolds
Pseudo-Euclidean space

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10.1016/j.jmaa.2016.07.053

Cite this

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abstract = "In this paper, we study biconservative hypersurfaces of index 2 in E25. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures.",

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KW - Null 2-type submanifolds

KW - Pseudo-Euclidean space

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A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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