doiSerbia

Lagrangian submersions from normal almost contact manifolds

Taştan Hakan Mete (Department of Mathematics, İstanbul University, İstanbul, Turkey)

We study Lagrangian submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that the horizontal distribution of a Lagrangian submersion from a Sasakian manifold onto a Riemannian manifold admitting vertical Reeb vector field is integrable, but the one admitting horizontal Reeb vector field is not. We also show that the horizontal distribution of a such submersion is integrable when the total manifold is Kenmotsu. Moreover, we give some applications of these results.

Keywords: Riemannian submersion, Lagrangian submersion, horizontal distribution, Sasakian manifold, Kenmotsu manifold