On H-Conformal Semi-invariant Submersion

Abstract

We explore h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions originating from quaternionic K\"ahler manifolds to Riemannian manifolds. Our investigation focuses on the geometric characteristics of these submersions, including the integrability of distributions and the geometry of foliations. Additionally, we establish the necessary and sufficient conditions for such submersions to be totally geodesic. We also examine the equivalent conditions for the total manifold of the submersion to be twisted product manifold. Finally, we present a series of examples illustrating quaternionic K\"ahler manifolds and h-conformal semi-invariant submersions from quaternionic K\"ahler manifolds to Riemannian manifolds.