2017/08/24 by Kwang-Soon Park, Park, Kwang-Soon · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1708.07753
As a generalization of Riemannian submersions, horizontally conformal\nsubmersions, semi-invariant submersions, h-semi-invariant submersions, almost\nh-semi-invariant submersions, conformal semi-invariant submersions, we\nintroduce h-conformal semi-invariant submersions and almost h-conformal\nsemi-invariant submersions from almost quaternionic Hermitian manifolds onto\nRiemannian manifolds.\n We study their properties: the geometry of foliations, the conditions for\ntotal manifolds to be locally product manifolds, the conditions for such maps\nto be totally geodesic, etc. Finally, we give some examples of such maps.\n