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

Year 2020, Volume: 49 Issue: 5, 1804 - 1824, 06.10.2020

Kwang-soon Park

https://doi.org/10.15672/hujms.599132

Cited By: 2

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

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