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1
Content available remote

Certain curvature characterizations of affine hypersurfaces

100%
Deszcz R.
Colloquium Mathematicum
|
1992
|
tom 63
|
nr 1
21-39
2
Content available remote

Curvature properties of certain compact pseudosymmetric manifolds

100%
Deszcz R.
Colloquium Mathematicum
|
1993
|
tom 65
|
nr 1
139-147
3
Content available remote

On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions

100%
Deszcz R.
Colloquium Mathematicum
|
1991
|
tom 62
|
nr 1
103-120
4
Content available remote

On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces

64%
Deszcz R., Scherfner M.
Colloquium Mathematicum
|
2007
|
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.
5
Content available remote

A note on geodesic mappings of pseudosymmetric Riemannian manifolds

64%
Defever F., Deszcz R.
Colloquium Mathematicum
|
1991
|
tom 62
|
nr 2
313-319
6
Content available remote

Curvature properties of Cartan hypersurfaces

64%
Deszcz R., Yaprak S.
Colloquium Mathematicum
|
1994
|
tom 67
|
nr 1
91-98
7
Content available remote

On some class of pseudosymmetric warped products

64%
Deszcz R., Kowalczyk D.
Colloquium Mathematicum
|
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

Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces

64%
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.
9
Content available remote

On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

52%
Deszcz R., Hotloś M., Şentürk Z.
Colloquium Mathematicum
|
1999
|
tom 79
|
nr 2
211-227
10
Content available remote

Quasi-Einstein hypersurfaces in semi-Riemannian space forms

52%
Deszcz R., Hotloś M., Sentürk Z.
Colloquium Mathematicum
|
2001
|
tom 89
|
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.
11
Content available remote

On the equivalence of Ricci-semisymmetry and semisymmetry

52%
Arslan K., Çelik Y., Deszcz R., Ezentaş R.
Colloquium Mathematicum
|
1998
|
tom 76
|
nr 2
279-294
12
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On totally umbilical submanifolds of conformally birecurrent manifolds

52%
Deszcz R., Ewert-Krzemieniewski S., Policht J.
Colloquium Mathematicum
|
1988
|
tom 55
|
nr 1
79-96
13
Content available remote

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

52%
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 pseudosymmetric para-Kähler manifolds

52%
Defever F., Verstraelen L., Deszcz R.
Colloquium Mathematicum
|
1997
|
tom 74
|
nr 2
253-260
15
Content available remote

On Weyl pseudosymmetric hypersurfaces

52%
Arslan K., Deszcz R., Yaprak Ş.
Colloquium Mathematicum
|
1997
|
tom 72
|
nr 2
353-361
16
Content available remote

On semi-Riemannian manifolds satisfying some conformally invariant curvature condition

46%
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.
17
Content available remote

On some type of curvature conditions

40%
Belkhelfa M., Deszcz R., Głogowska M., Hotloś M., Kowalczyk D., Verstraelen L.
Banach Center Publications
|
2002
|
tom 57
|
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.
18
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On certain curvature conditions on Riemannian manifolds

38%
Deszcz R., Grycak W.
Colloquium Mathematicum
|
1989-1990
|
tom 58
|
nr 2
259-268
19
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On manifolds satisfying some curvature conditions

38%
Deszcz R., Grycak W.
Colloquium Mathematicum
|
1989
|
tom 57
|
nr 1
89-92
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