Conformal slant submersions

Year 2019, Volume: 48 Issue: 1, 28 - 44, 01.02.2019

Mehmet Akif Akyol , Bayram Şahin

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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