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^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

7 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	401-412
Sayfa sayısı	12
Dergi	Mediterranean Journal of Mathematics
Hacim	13
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s00009-014-0491-1
Yayın durumu	Yayınlandı - 1 Şub 2016

Bibliyografik not

Publisher Copyright:
© 2014, Springer Basel.

Belgeye Erişim

10.1007/s00009-014-0491-1

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

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day = "1",

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

language = "English",

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AU - Turgay, Nurettin Cenk

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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 - https://www.scopus.com/pages/publications/84957839942

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

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap