Conformal anti-invariant submersions from cosymplectic manifolds

Year 2017, Volume: 46 Issue: 2, 177 - 192, 01.04.2017

Mehmet Akif Akyol

Abstract

We introduce conformal anti-invariant submersions from cosymplectic manifolds onto Riemannian manifolds. We give an example of a conformal anti-invariant submersion such that characteristic vector field $\xi$ is vertical. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and show that the total manifold has certain product structures. Moreover, we examine necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic and check the harmonicity of such submersions.

Keywords

Cosymplectic manifold, Conformal submersion, Conformal anti-invariant submersion

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