- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 5
- Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds
Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds
Authors : Kwang-soon Park
Pages : 1804-1824
Doi:10.15672/hujms.599132
View : 12 | Download : 5
Publication Date : 2020-10-06
Article Type : Research
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