On Lagrangian submersions

Hakan Mete Taştan

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arXiv · 1311.1676

On Lagrangian submersions

Hakan Mete Taştan

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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 Kaehlerian 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.

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Hakan Mete Taştan. 2015-01-09. On Lagrangian submersions. https://arxiv.org/abs/1311.1676

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