3-submersions from QR-hypersurfaces of quaternionic Kaehler manifolds

preprint2011arXivOpen access

Abstract

In this paper we study 3-submersions from a QR-hypersurface of a quaternionic Kaehler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kaehler manifolds which are not locally hyper-Kaehler.

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