Horizontally Conformal Submersions from CR-Submanifolds of Locally Conformal Kähler Manifolds.

In this paper, we study horizontally conformal submersions from CR-submanifolds of a locally conformal Kähler manifold onto almost Hermitian manifolds, generalizing the results obtained by Şahin (Kodai Math. J. 31, 2008), for horizontally conformal submersions of CR-submanifolds in Kähler ambient space. In particular, we show that any horizontally homothetic submersion of a CR-submanifold M of a locally conformal Kähler manifold with Lee vector field normal to M is a Riemannian submersion up to a scale. Moreover, we obtain that such a map is harmonic, provided that the CR-submanifold is mixed geodesic. [ABSTRACT FROM AUTHOR]