3-submersions from QR-hypersurfaces of quaternionic Kähler manifolds
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 301-309
MSC: Primary 53C15; Secondary 53C26.
DOI: 10.4064/ap98-3-9
Abstract
We study 3-submersions from a QR-hypersurface of a quaternionic Kähler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kähler manifolds which are not locally hyper-Kähler.