On paraquaternionic submersions between paraquaternionic Kähler manifolds

Details On paraquaternionic submersions between paraquaternionic Kähler manifolds On paraquaternionic submersions between paraquaternionic Kähler manifolds

2008-07-11

arxiv.org/abs/0807.1824v1

Acta Appl. Math. 112 (2010), 1--14

Mathematics

Differential Geometry

13 pages, no figures

Scientific paper

10.1007/s10440-009-9549-7

In this paper we deal with some properties of a class of semi-Riemannian submersions between manifolds endowed with paraquaternionic structures, proving a result of non-existence of paraquaternionic submersions between paraquaternionic K\"ahler non locally hyper paraK\"ahler manifolds. Then we examine, as an example, the canonical projection of the tangent bundle, endowed with the Sasaki metric, of an almost paraquaternionic Hermitian manifold.

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