Curvature Invariants of Lagrangian Riemann- ian submersions from Locally Product Spaces

Abstract

In this paper, we obtain various inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of
Lagrangian Riemannian submersion is defined from locally  product spaces onto a Riemannian manifold. Also, we obtain the Chen-Ricci inequality for the said Riemannian submersion. In the end, we give a non-trivial
example.