Quasi-Einstein hypersurfaces in semi-Riemannian space forms

• Autorzy: Ryszard Deszcz , Marian Hotloś , Zerrin Sentürk
• Języki publikacji: EN

Abstrakty

EN

We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry 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.

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53B20: Local Riemannian geometry
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53B50: Applications to physics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 89
• Numer: 1
• Strony: 81-97

Daty

wydano

2001

Twórcy

autor

Ryszard Deszcz

• Department of Mathematics, Agricultural University of Wrocław, Grunwaldzka 53, 50-357 Wrocław, Poland

autor

Marian Hotloś

• Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Zerrin Sentürk

• Department of Mathematics, Technical University of Istanbul, 80626 Maslak, Istanbul, Turkey

Identyfikatory

DOI

10.4064/cm89-1-6