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arXiv · 1803.06683

Conformal slant submersions in contact geometry

Yılmaz Gündüzalp·Mehmet Akif Akyol
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Abstract

Akyol M.A. [Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistic, 46(2), (2017), 177-192.] defined and studied conformal anti-invariant 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 $ξ$ is a vertical vector field) from almost contact metric manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, slant submersions and conformal anti-invariant submersions. More precisely, we mention lots of examples and obtain the geometries of the leaves of $\kerπ_{*}$ and $(\kerπ_{*})^\perp,$ including the integrability of the distributions, the geometry of foliations, some conditions related to totally geodesicness and harmonicty of the submersions. Finally, we consider a decomposition theorem on total space of the new submersion.

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Yılmaz Gündüzalp, Mehmet Akif Akyol. 2018-03-18. Conformal slant submersions in contact geometry. https://doi.org/10.3906/mat-1803-106

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