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

6 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

Access to Document

10.1007/s00009-014-0491-1

Cite this

@article{570f5a93720642469dcc68b01e23e6c8,

title = "Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space",

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.",

keywords = "Biharmonic submanifolds, Finite type submanifolds, Lorentzian hypersurfaces, Minimal submanifolds",

author = "Turgay, {Nurettin Cenk}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Basel.",

year = "2016",

month = feb,

day = "1",

doi = "10.1007/s00009-014-0491-1",

language = "English",

volume = "13",

pages = "401--412",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

AU - Turgay, Nurettin Cenk

PY - 2016/2/1

Y1 - 2016/2/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84957839942&partnerID=8YFLogxK

U2 - 10.1007/s00009-014-0491-1

DO - 10.1007/s00009-014-0491-1

M3 - Article

AN - SCOPUS:84957839942

SN - 1660-5446

VL - 13

SP - 401

EP - 412

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 1

ER -

Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this