Wyniki wyszukiwania

1

On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

100%

Deszcz R., Hotloś M., Şentürk Z.

Colloquium Mathematicum

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1999

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tom 79

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nr 2

211-227

2

Quasi-Einstein hypersurfaces in semi-Riemannian space forms

100%

Deszcz R., Hotloś M., Sentürk Z.

Colloquium Mathematicum

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2001

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tom 89

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nr 1

81-97

EN

We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.

3

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

100%

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.

4

On semi-Riemannian manifolds satisfying some conformally invariant curvature condition

88%

Deszcz R., Głogowska M., Hashiguchi H., Hotloś M., Yawata M.

Colloquium Mathematicum

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2013

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tom 131

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nr 2

149-170

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.

5

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On curvature collineations on simple conformally recurrent manifolds

86%

Hotloś M.

Colloquium Mathematicum

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1989

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tom 57

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nr 2

295-306

6

On some type of curvature conditions

76%

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.

7

On the existence of certain types of Riemannian metrics

74%

Grycak W., Hotloś M.

Colloquium Mathematicum

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1982

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tom 47

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nr 1

31-37

Ograniczanie wyników

6 Colloquium Mathematicum

1 Banach Center Publications

7 Hotloś M.

5 Deszcz R.

3 Głogowska M.

2 Verstraelen L.

1 Belkhelfa M.

1 Grycak W.

1 Hashiguchi H.

1 Kowalczyk D.

1 Sentürk Z.

1 Yawata M.

1 Şentürk Z.

1 2013

1 2003

1 2002

1 2001

1 1999

1 1989

1 1982

On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

Quasi-Einstein hypersurfaces in semi-Riemannian space forms

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

On semi-Riemannian manifolds satisfying some conformally invariant curvature condition

On curvature collineations on simple conformally recurrent manifolds

On some type of curvature conditions

On the existence of certain types of Riemannian metrics