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On Paraquaternionic Submersions Between Paraquaternionic Kähler Manifolds

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Abstract

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 Kähler non-locally hyper para-Kähler 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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  1. Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona, 4, 70125, Bari, Italy

    Angelo V. Caldarella

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Caldarella, A.V. On Paraquaternionic Submersions Between Paraquaternionic Kähler Manifolds. Acta Appl Math 112, 1–14 (2010). https://doi.org/10.1007/s10440-009-9549-7

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