On ricci-pseudosymmetric hypersurfaces in spaces of constant curvature

Defever F., Deszcz R., Dhooghe P., Yaprak S., Verstraelen L.

Results in Mathematics, cilt.27, sa.3, ss.227-236, 1995 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 3
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1007/bf03322827
  • Dergi Adı: Results in Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.227-236
  • Anahtar Kelimeler: 53B20, 53B30, 53B50, 53C25, 53C35, 53C80, hypersurfaces, pseudosymmetric manifolds, semisymmetric manifolds
  • Ankara Üniversitesi Adresli: Evet

Özet

This article studies the conditions of pseudosymmetry and Ricci-pseudosymmetry, realizedon hypersurfaces of semi-Riemannian spaces of constant curvature. In particular, we derive extrinsic characterizations of pseudosymmetric and Ricci-pseudosymmetric hypersurfaces of semi-Riemannian spaces of constant curvature in terms of the shape operator. As an application, and in the Riemannian case, we extend a theorem by K. Nomizu on semisymmetric hypersurfaces of Euclidean spaces. © 1995, Birkhäuser Verlag, Basel. All rights reserved.