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On some class of hypersurfaces with three distinct principal curvatures

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Sawicz K.

Banach Center Publications

2005

tom 69

nr 1

145-156

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.

Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations

100%

Sawicz K.

Colloquium Mathematicum

2004

tom 101

nr 2

183-201

We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

2 Sawicz K.

1 2005

1 2004

Wyniki wyszukiwania

On some class of hypersurfaces with three distinct principal curvatures

Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations