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 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.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

References in corpus (3)

• Slant submersions from almost Hermitian manifolds
• Anti-Invariant Riemannian Submersions from Sasakian Manifolds
• Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds

Cited by in corpus (1)

• Anti-holomorphic semi-invariant submersions from Kählerian manifolds