Conformal slant submersions

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Hacettepe Journal of Mathematics and Statistics
Volume:48 Issue:1
Conformal slant submersions

Conformal slant submersions

Authors : Mehmet Akif AKYOL, Bayram ŞAHİN

Pages : 28-44

View : 26 | Download : 9

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :As a generalization of conformal holomorphic submersions and conformal anti-invariant submersions, we introduce a new conformal submersion from almost Hermitian manifolds onto Riemannian manifolds, namely conformal slant submersions. We give examples and find necessary and sufficient conditions for such maps to be harmonic morphism. We also investigate the geometry of foliations which are arisen from the definition of a conformal submersion and obtain a decomposition theorem on the total space of a conformal slant submersion. Moreover, we find necessary and sufficient conditions of a conformal slant submersion to be totally geodesic.
Keywords : Riemannian submersion, slant submersion, conformal submersion, conformal slant submersion

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