Conformal semi-invariant submersions

Abstract

As a generalization of semi-invariant submersions, we introduce conformal semi-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which arise from the definition of a conformal submersion and show that there are certain product structures on the total space of a conformal semi-invariant submersion. Moreover, we also check the harmonicity of such submersions and find necessary and sufficient conditions of a conformal semi-invariant submersion to be totally geodesic.

Conformal generic submersions

“…As a generalization of holomorphic submersions, the notion of conformal holomorphic submersions were defined by Gudmundsson and Wood [19]. In 2017, Akyol and Şahin [7] defined a conformal semi-invariant submersion from an almost Hermitian manifolds onto a Riemannian manifold. (For conformal submersions see also [6], [8]).…”

On Conformal Anti-Invariant Submersions Whose Total Manifolds Are Locally Product Riemannian

“…Recently, we introduced conformal anti-invariant submersions [20] and conformal semiinvariant submersions [21] from almost Hermitian manifolds, and gave examples and investigated the geometry of such submersions (see also [22,23]). We showed that the geometry of such submersions is different from their counterpart anti-invariant Riemannian submersions and semi-invariant Riemannian submersions.…”

Conformal slant submersions from cosymplectic manifolds

“…Afterwards, he also defined slant submersions from almost Hermitian manifolds in [41]. After that, many geometers studied this area and obtained lots of results on the new topic (see [3,4,6,13,21,25,26,36,38,[44][45][46]). Recent developments on the notion of Riemannian submersion can be found in [43].…”