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Displaying similar documents to “Ricci curvature and qusiconformal deformations of a Riemannian manifold.”

On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor

Hiroshi Endo (1991)

Colloquium Mathematicae

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For Sasakian manifolds, Matsumoto and Chūman [6] defined the contact Bochner curvature tensor (see also Yano [9]). Hasegawa and Nakane [4] and Ikawa and Kon [5] have studied Sasakian manifolds with vanishing contact Bochner curvature tensor. Such manifolds were studied in the theory of submanifolds by Yano ([9] and [10]). In this paper we define an extended contact Bochner curvature tensor in K-contact Riemannian manifolds and call it the E-contact Bochner curvature tensor. Then we show...

On some class of pseudosymmetric warped products

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.