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arxiv: 1106.2288 · v1 · pith:WPXWHH4Pnew · submitted 2011-06-12 · 🧮 math.DG

3-submersions from QR-hypersurfaces of quaternionic Kaehler manifolds

classification 🧮 math.DG
keywords quaternionickaehlersubmersionsmanifoldmanifoldsalmosthermitianhyper-kaehler
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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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