English

3-submersions from QR-hypersurfaces of quaternionic Kaehler manifolds

Differential Geometry 2011-06-14 v1

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.

Keywords

Cite

@article{arxiv.1106.2288,
  title  = {3-submersions from QR-hypersurfaces of quaternionic Kaehler manifolds},
  author = {Gabriel Eduard Vilcu},
  journal= {arXiv preprint arXiv:1106.2288},
  year   = {2011}
}