Almost h-semi-slant Riemannian maps to almost quaternionic Hermitian manifolds

Abstract

We introduce the notions of almost h-slant Riemannian maps, almost h-semi-invariant Riemannian maps, and almost h-semi-slant Riemannian maps from Riemannian manifolds to almost quaternionic Hermitian manifolds. We investigate the harmonicity of such maps and the geometry of distributions. We also find the conditions for such maps to be totally geodesic, relate the notion of pseudo-horizontally weakly conformal maps to those notions, and give some examples of such maps.