CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions
Volume 70 / 1996
Colloquium Mathematicum 70 (1996), 165-179
DOI: 10.4064/cm-70-2-165-179
Abstract
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.
