Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Aykut Kayhan; Nurettin Cenk Turgay

doi:10.1007/s00009-023-02286-5

Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Aykut Kayhan, Nurettin Cenk Turgay^*

^*Corresponding author for this work

Department of Mathematics Engineering

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

Abstract

In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.

Original language	English
Article number	105
Journal	Mediterranean Journal of Mathematics
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/s00009-023-02286-5
Publication status	Published - Jun 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Biconservative hypersurfaces
biharmonic isometric immersions
Minkowski space
non-diagonalizable shape operator

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10.1007/s00009-023-02286-5

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abstract = "In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.",

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Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Abstract

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Keywords

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