Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
Toshihiko Ikawa, Masahiro Kon (1977)
Colloquium Mathematicae
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Displaying similar documents to “Rigidity of noncompact manifolds with cyclic parallel Ricci curvature”
Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
Ryszard Deszcz, Małgorzata Głogowska, Hideko Hashiguchi, Marian Hotloś, Makoto Yawata (2013)
Colloquium Mathematicae
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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.
Curvature tensors on -Einstein Sasakian manifolds.
Pokhariyal, G.P. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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On generalized recurrent Kaehlerian manifolds of second order I
S. S. Singh (1983)
Annales Polonici Mathematici
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On generalized recurrent Kaehlerian manifolds of second order II
(1983)
Annales Polonici Mathematici
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Unit tangent sphere bundles with constant scalar curvature
Eric Boeckx, Lieven Vanhecke (2001)
Czechoslovak Mathematical Journal
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As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.
Compact manifolds of nonnegative isotropic curvature and pure curvature tensor.
Dussan, Martha, Noronha, Maria Helena (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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On continuous mappings between non-negatively and non-positively curved manifolds.
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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On Riemann and Weyl Compatible Tensors
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
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Curvature tensors in dimension four which do not belong to any curvature homogeneous space
Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.