On Lagrangian submersions

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. 

Keywords

• Riemannian submersion,Lagrangian submersion,horizontal distribution,Kählerian manifold

References

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