Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds

Authors : Kwangsoon PARK

Pages : 1804-1824

Doi:10.15672/hujms.599132

View : 20 | Download : 9

Publication Date : 2020-10-06

Article Type : Research Paper

Abstract :As a generalization of Riemannian submersions, horizontally conformal submersions, semi-invariant submersions, h-semi-invariant submersions, almost h-semi-invariant submersions, conformal semi-invariant submersions, we introduce h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We study their properties: the geometry of foliations, the conditions for total manifolds to be locally product manifolds, the conditions for such maps to be totally geodesic. Finally, we give some examples of such maps.
Keywords : horizontally conformal submersion, quaternionic manifold, totally geodesic