Conformal anti-invariant submersions from cosymplectic manifolds

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Hacettepe Journal of Mathematics and Statistics
Volume:46 Issue:2
Conformal anti-invariant submersions from cosymplectic manifolds

Conformal anti-invariant submersions from cosymplectic manifolds

Authors : Mehmet Akif AKYOL

Pages : 177-192

View : 21 | Download : 12

Publication Date : 2017-04-01

Article Type : Research Paper

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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