Conformal slant submersions from cosymplectic manifolds
Abstract
Akyol {[}Conformal anti-invariant submersions from cosymplectic
manifolds, Hacettepe Journal of Mathematics and Statistics 2017; 462:
177-192] defined and studied conformal antiinvariant submersions from
cosymplectic manifolds. The aim of the present paper is to define and
study the notion of conformal slant submersions (it means the Reeb
vector field xi is a vertical vector field) from cosymplectic manifolds
onto Riemannian manifolds as a generalization of Riemannian submersions,
horizontally conformal submersions, slant submersions, and conformal
antiinvariant submersions. More precisely, we mention many examples and
obtain the geometries of the leaves of vertical distribution and
horizontal distribution, including the integrability of the
distributions, the geometry of foliations, some conditions related to
total geodesicness, and harmonicity of the submersions. Finally, we
consider a decomposition theorem on the total space of the new
submersion.
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