On semi-Riemannian manifolds satisfying some conformally invariant curvature condition

• Autorzy: Ryszard Deszcz , Małgorzata Głogowska , Hideko Hashiguchi , Marian Hotloś , Makoto Yawata
• Języki publikacji: EN

Abstrakty

EN

We investigate semi-Riemannian manifolds with pseudosymmetric Weyl curvature tensor satisfying some additional condition imposed on their curvature tensor. Among other things we prove that the so-called Roter type equation holds on such manifolds. We present applications of our results to hypersurfaces in semi-Riemannian space forms, as well as to 4-dimensional warped products.

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: 2013
• Tom: 131
• Numer: 2
• Strony: 149-170

Daty

wydano

2013

Twórcy

autor

Ryszard Deszcz

• Department of Mathematics, Wrocław University of Environmental and Life Sciences, Grunwaldzka 53, 50-357 Wrocław, Poland

autor

Małgorzata Głogowska

• Department of Mathematics, Wrocław University of Environmental and Life Sciences, Grunwaldzka 53, 50-357 Wrocław, Poland

autor

Hideko Hashiguchi

• Department of Mathematics, Chiba Institute of Technology, Shibazono Narashino, 275-0023, Chiba, Japan

autor

Marian Hotloś

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

autor

Makoto Yawata

• Department of Mathematics, Chiba Institute of Technology, Shibazono Narashino, 275-0023, Chiba, Japan

Identyfikatory

DOI

10.4064/cm131-2-1