Geodesic
CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions
Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 165-179.

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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.
DOI : 10.4064/cm-70-2-165-179

Fumio Narita 1

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Fumio Narita. CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions. Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 165-179. doi : 10.4064/cm-70-2-165-179. http://geodesic.mathdoc.fr/articles/10.4064/cm-70-2-165-179/

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