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1
Content available remote Certain curvature characterizations of affine hypersurfaces
100%
Deszcz R.
|
|
nr 1
21-39
2
Content available remote Curvature properties of certain compact pseudosymmetric manifolds
100%
Deszcz R.
Colloquium Mathematicum
|
1993
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tom 65
|
nr 1
139-147
3
Content available remote A note on geodesic mappings of pseudosymmetric Riemannian manifolds
63%
Defever F. , Deszcz R.
Colloquium Mathematicum
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1991
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tom 62
|
nr 2
313-319
4
Content available remote Curvature properties of Cartan hypersurfaces
63%
Deszcz R. , Yaprak S.
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|
nr 1
91-98
5
Content available remote Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces
63%
Deszcz R. , Głogowska M.
Colloquium Mathematicum
|
2002
|
tom 94
|
nr 1
87-101
EN
We construct a class of nonsemisymmetric Ricci-semisymmetric warped products. Some manifolds of this class can be locally realized as hypersurfaces of a semi-Euclidean space $𝔼^{n+1}_{s}$, n ≥ 5.
6
Content available remote On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
63%
Deszcz R. , Scherfner M.
Colloquium Mathematicum
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2007
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tom 109
|
nr 1
13-29
EN
We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
7
Content available remote On some class of pseudosymmetric warped products
63%
Deszcz R. , Kowalczyk D.
Colloquium Mathematicum
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2003
|
tom 97
|
nr 1
7-22
EN
We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
8
Content available remote Quasi-Einstein hypersurfaces in semi-Riemannian space forms
51%
Deszcz R. , Hotloś M. , Sentürk Z.
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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.
9
Content available remote On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
51%
Deszcz R. , Hotloś M. , Şentürk Z.
Colloquium Mathematicum
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1999
|
tom 79
|
nr 2
211-227
10
Content available On totally umbilical submanifolds of conformally birecurrent manifolds
51%
Deszcz R. , Ewert-Krzemieniewski S. , Policht J.
Colloquium Mathematicum
|
1988
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tom 55
|
nr 1
79-96
11
Content available remote On Weyl pseudosymmetric hypersurfaces
51%
Arslan K. , Deszcz R. , Yaprak Ş.
Colloquium Mathematicum
|
1997
|
tom 72
|
nr 2
353-361
12
Content available remote On pseudosymmetric para-Kähler manifolds
51%
Defever F. , Verstraelen L. , Deszcz R.
Colloquium Mathematicum
|
1997
|
tom 74
|
nr 2
253-260
13
Content available remote On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms
51%
Deszcz R. , Głogowska M. , Hotloś M. , Verstraelen L.
Colloquium Mathematicum
|
2003
|
tom 96
|
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.
14
Content available remote On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
45%
Deszcz R. , Głogowska M. , Hashiguchi H. , Hotloś M. , Yawata M.
Colloquium Mathematicum
|
2013
|
tom 131
|
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.
15
Content available remote On some type of curvature conditions
38%
Belkhelfa M. , Deszcz R. , Głogowska M. , Hotloś M. , Kowalczyk D. , Verstraelen L.
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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.
16
Content available On manifolds satisfying some curvature conditions
38%
Deszcz R. , Grycak W.
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|
nr 1
89-92
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