Some Submersions of Cr-hypersurfaces of Kaehler-einstein Manifold
نویسنده
چکیده
The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein man-ifold˜M are studied. If M is an extrinsic CR-hypersurface of˜M, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold. 1. Introduction. The study of the Riemannian submersions π : M → B was initiated by O'Neill [14] and Gray [9]. This theory was very much developed in the last thirty five years. Besse's book [3, Chapter 9] is a reference work. Bejancu introduced a remarkable class of submanifolds of a Kaehler manifold that are known as CR-submanifolds (see [1, 2]). On a CR-submanifold, there are two complementary distributions D and D ⊥ , such that D is J-invariant and
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