Some Classifications of Biharmonic Lorentzian Hypersurfaces in Minkowski 5-Space


Turgay N. C.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.1, ss.401-412, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-014-0491-1
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.401-412
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study Lorentzian hypersurfaces in Minkowski 5-space with non-diagonalizable shape operator whose characteristic polynomial is (t - k (1))(2)(t - k (3))(t - k (4)) or (t - k (1))(3)(t - k (4)). We prove that in these cases, a hypersurface is biharmonic if and only if it is minimal.