Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 6

On Lagrangian submersions

Hakan Mete TAŞTAN

Sayfa
993–1000
DOI
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Abstract

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.