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

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

13 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.

Keywords

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

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10.1016/j.jmaa.2016.07.053

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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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AU - Turgay, Nurettin Cenk

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AB - 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 - Biharmonic submanifolds

KW - Null 2-type submanifolds

KW - Pseudo-Euclidean space

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ER -

A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abstract

Bibliographical note

Keywords

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