Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

Nurettin Cenk Turgay

doi:10.1007/s00009-014-0491-1

Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

Nurettin Cenk Turgay^*

^*Corresponding author for this work

Department of Mathematics Engineering

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

7 Citations (Scopus)

Abstract

In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is (t − k₁)²(t − k₃)(t − k₄) or (t − k₁)³(t − k₄). We prove that in these cases, a hypersurface is biharmonic if and only if it is minimal.

Original language	English
Pages (from-to)	401-412
Number of pages	12
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s00009-014-0491-1
Publication status	Published - 1 Feb 2016

Bibliographical note

Publisher Copyright:
© 2014, Springer Basel.

Keywords

Biharmonic submanifolds
Finite type submanifolds
Lorentzian hypersurfaces
Minimal submanifolds

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10.1007/s00009-014-0491-1

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abstract = "In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is (t − k1)2(t − k3)(t − k4) or (t − k1)3(t − k4). We prove that in these cases, a hypersurface is biharmonic if and only if it is minimal.",

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AB - In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is (t − k1)2(t − k3)(t − k4) or (t − k1)3(t − k4). We prove that in these cases, a hypersurface is biharmonic if and only if it is minimal.

KW - Biharmonic submanifolds

KW - Finite type submanifolds

KW - Lorentzian hypersurfaces

KW - Minimal submanifolds

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Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

Abstract

Bibliographical note

Keywords

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