On some class of hypersurfaces of semi-Euclidean spaces

Murathan C., Arslan K., Deszcz R., Ezentas R., Ozgur C.

Publicationes Mathematicae, cilt.58, sa.4, ss.587-604, 2001 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 4
  • Basım Tarihi: 2001
  • Dergi Adı: Publicationes Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.587-604
  • Anahtar Kelimeler: pseudosymmetry type manifold, Ricci-semisymmetric manifold, semisymmetric manifold, hypersurface, STRUCTURE THEOREMS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the paper we prove that under some additional curvature condition the relations R · R = 0 and R · S = 0 are equivalent for hypersurfaces of semi-Euclidean spaces. We present also examples of hypersurfaces having the curvature tensor expressed by the square, in the sense of the Kulkarni - Nomizu product, of the Ricci tensor.