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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-9, author = {Gabriel Eduard V\^\i lcu}, title = {3-submersions from QR-hypersurfaces of quaternionic K\"ahler manifolds}, journal = {Annales Polonici Mathematici}, volume = {98}, year = {2010}, pages = {301-309}, zbl = {1192.53037}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-9} }
Gabriel Eduard Vîlcu. 3-submersions from QR-hypersurfaces of quaternionic Kähler manifolds. Annales Polonici Mathematici, Tome 98 (2010) pp. 301-309. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-9/