On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms

• Autorzy: Ryszard Deszcz , Małgorzata Głogowska , Marian Hotloś , Leopold Verstraelen
• Języki publikacji: EN

Abstrakty

EN

Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53B20: Local Riemannian geometry
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53B25: Local submanifolds
• 53B50: Applications to physics
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 2
• Strony: 149-166

Daty

wydano

2003

Twórcy

autor

Ryszard Deszcz

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

autor

Małgorzata Głogowska

• 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

Leopold Verstraelen

• Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium

Identyfikatory

DOI

10.4064/cm96-2-1