Communications of the Korean Mathematical Society, cilt.38, sa.2, ss.599-620, 2023 (ESCI)
In this paper, h-quasi-hemi-slant submersions and almost h-quasihemi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds are introduced. Fundamental results on h-quasi-hemi-slant submersions: the integrability of distributions, geometry of foliations and the conditions for such submersions to be totally geodesic are investigated. Moreover, some non-trivial examples of the h-quasi-hemi-slant submersion are constructed.