@article{article_563933, title={On Lagrangian submersions}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={43}, pages={993–1000}, year={2014}, author={Taştan, Hakan Mete}, keywords={Riemannian submersion,Lagrangian submersion,horizontal distribution,Kählerian manifold}, abstract={<div style="text-align: justify;"> <span style="font-size: 0.9em;">In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kählerian manifold is integrable. We also give some applications of this result. Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.  </span> </div>}, number={6}, publisher={Hacettepe University}