On Lagrangian submersions

2013/11/07 by Taştan, Hakan Mete
#53B20 #53C15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1311.1676

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.

Related

• Anti-holomorphic semi-invariant submersions from Kählerian manifolds
• Anti-invariant Riemannian submersions from locally conformal Kaehler manifolds
• H-anti-invariant submersions from almost quaternionic Hermitian\n manifolds
• Lagrangian submanifolds in the nearly kaehler s³ × s³
• Weak KAM theory for subriemannian Lagrangians