On the curvature of -contact Riemannian manifolds with constant -sectional curvature with a submersion of geodesic fibres.
Endo, Hiroshi (2005)
APPS. Applied Sciences
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Endo, Hiroshi (2005)
APPS. Applied Sciences
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Ryszard Deszcz, Wiesław Grycak (1990)
Colloquium Mathematicae
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Bueken, P., Gillard, J., Vanhecke, L. (1997)
General Mathematics
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Ryszard Deszcz, Dorota Kowalczyk (2003)
Colloquium Mathematicae
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We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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Hukum Singh (1985)
Publications de l'Institut Mathématique
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Mohamed Belkhelfa, Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Dorota Kowalczyk, Leopold Verstraelen (2002)
Banach Center Publications
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In this paper we present a review of recent results on semi-Riemannian manifolds satisfying curvature conditions of pseudosymmetry type.
W. Roter (1977)
Colloquium Mathematicae
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Barbara Opozda (1983)
Annales Polonici Mathematici
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Sarić, Branko (2000)
Lobachevskii Journal of Mathematics
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Yana Alexieva, Stefan Ivanov (1999)
Archivum Mathematicum
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Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures , which are not locally homogeneous, in general.