Study on HQBS-Submersions from almost quaternionic Hermitian manifolds

Abstract

In this artical, h-quasi bi-slant submersions ($h-qbs$-submersions, in short) from almost quaternionic Hermitian manifolds onto Riemannian manifolds are defined and studied. In addition, the integrability of distributions, the geometry of foliations, the condition for such maps to be totally geodesic are investigated. Moreover, we have also worked out some non-trivial examples of the $hqbs$-submersion.