On Lagrangian submersions
Differential Geometry
2015-01-12 v3
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.
Cite
@article{arxiv.1311.1676,
title = {On Lagrangian submersions},
author = {Hakan Mete Taştan},
journal= {arXiv preprint arXiv:1311.1676},
year = {2015}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in equation 1