On some class of hypersurfaces with three distinct principal curvatures

• Autorzy: Katarzyna Sawicz
• Języki publikacji: EN

Abstrakty

EN

We investigate hypersurfaces M in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor H of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.

Kategorie tematyczne

• 53B20: Local Riemannian geometry
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53B25: Local submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 145-156

Daty

wydano

2005

Twórcy

autor

Katarzyna Sawicz

• Institute of Econometrics and Computer Science, Technical University of Częstochowa, Armii Krajowej 19B, 42-200 Częstochowa, Poland

Identyfikatory

DOI

10.4064/bc69-0-9