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- Title
On Paraquaternionic Submersions Between Paraquaternionic Kähler Manifolds.
- Authors
Caldarella, Angelo V.
- 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.
- Subjects
RIEMANNIAN submersions; KAHLERIAN manifolds; HERMITIAN structures; DIFFERENTIABLE manifolds; AXIOMS; GEOMETRY
- Publication
Acta Applicandae Mathematicae, 2010, Vol 112, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-009-9549-7