On paraquaternionic submersions between paraquaternionic Kähler manifolds

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 paraKähler 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.

13 pages, no figures

References in corpus (10)

• Special Geometry of Euclidean Supersymmetry I: Vector Multiplets
• Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
• Double products and hypersymplectic structures on $R^{4n}$
• Homogeneous para-Kähler Einstein manifolds
• Para-quaternionic reduction
• Hyper-ParaHermitian manifolds with torsion
• Twistorial maps between quaternionic manifolds
• Complex product structures on some simple Lie groups
• Classification of four-dimensional Lie algebras admitting a para-hypercomplex structure
• Twistors of Almost Quaternionic Manifolds

Cited by in corpus (2)

• The structure of the space of affine Kaehler curvature tensors as a complex module
• Conformal generic submersions with total space an almost Hermitian manifold