$H$-SEMI-SLANT SUBMERSIONS FROM ALMOST QUATERNIONIC HERMITIAN MANIFOLDS

Abstract

As a generalization of semi-slant submersions, h-slant submersions, and h-semi-invariant submersions, we introduce the notions of h-semi-slant submersions and almost h-semi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate the integrability of distributions, the geometry of fibers, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic. Moreover, we give some examples of such maps.