Quasi-einstein hypersurfaces in semi-Riemannian space forms

Ryszard Deszcz, Marian Hotloś, Zerrin S. Entürk

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R · C = LQ (S, C), which is a curvature condition of pseu- dosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci- semisymmetric manifolds.

Original languageEnglish
Pages (from-to)81-97
Number of pages17
JournalColloquium Mathematicum
Issue number1
Publication statusPublished - 2001

Bibliographical note

Publisher Copyright:
© 2001, Instytut Matematyczny. All rights reserved.


  • Hypersurface
  • Quasi-Einstein manifold
  • Ricci-semisymmetric manifold


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