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1

Hypersurfaces with parallel affine curvature tensor R*

100%

Opozda B., Verstraelen L.

Annales Polonici Mathematici

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1999

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tom 72

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nr 1

25-32

EN

In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space $ℝ^{n+1}$. In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.

2

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

81%

Deszcz R., Głogowska M., Hotloś M., Verstraelen L.

Colloquium Mathematicum

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2003

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tom 96

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nr 2

149-166

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.

3

On pseudosymmetric para-Kähler manifolds

81%

Defever F., Verstraelen L., Deszcz R.

Colloquium Mathematicum

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1997

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tom 74

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nr 2

253-260

4

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

A survey on axioms of submanifolds in Riemannian and Kaehlerian geometry

80%

Van Lindt D., Verstraelen L.

Colloquium Mathematicum

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1987

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tom 54

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nr 2

193-213

5

On some type of curvature conditions

61%

Belkhelfa M., Deszcz R., Głogowska M., Hotloś M., Kowalczyk D., Verstraelen L.

Banach Center Publications

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2002

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tom 57

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nr 1

179-194

EN

In this paper we present a review of recent results on semi-Riemannian manifolds satisfying curvature conditions of pseudosymmetry type.

Ograniczanie wyników

3 Colloquium Mathematicum

1 Annales Polonici Mathematici

1 Banach Center Publications

5 Verstraelen L.

3 Deszcz R.

2 Głogowska M.

2 Hotloś M.

1 Belkhelfa M.

1 Defever F.

1 Kowalczyk D.

1 Opozda B.

1 Van Lindt D.

1 2003

1 2002

1 1999

1 1998

1 1987

Hypersurfaces with parallel affine curvature tensor R*

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

On pseudosymmetric para-Kähler manifolds

A survey on axioms of submanifolds in Riemannian and Kaehlerian geometry

On some type of curvature conditions