Generalized Hopf manifolds with flat local Kaelher metrics

Sorin Dragomir; Renata Grimaldi

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Displaying similar documents to “Generalized Hopf manifolds with flat local Kaelher metrics”

CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

Fumio Narita (1996)

Colloquium Mathematicae

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We consider a Riemannian submersion π: M → N, where M is a CR-submanifold of a locally conformal Kaehler manifold L with the Lee form ω which is strongly non-Kaehler and N is an almost Hermitian manifold. First, we study some geometric structures of N and the relation between the holomorphic sectional curvatures of L and N. Next, we consider the leaves M of the foliation given by ω = 0 and give a necessary and sufficient condition for M to be a Sasakian manifold.

On compact locally conformal Kaehler manifolds with non-negative sectional curvature

Samuel I. Goldberg, Izu Vaisman (1980)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Principal toroidal bundles over Cauchy-Riemann products.

Abatangelo, L.Maria, Dragomir, Sorin (1990)

International Journal of Mathematics and Mathematical Sciences

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The local moduli of Sasakian 3-manifolds.

Guilfoyle, Brendan S. (2002)

International Journal of Mathematics and Mathematical Sciences

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Weyl space forms and their submanifolds

Fumio Narita (2001)

Colloquium Mathematicae

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We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.