Chen invariants for Riemannian submersions and their applications in meteorology

TL;DR

This paper explores inequalities involving delta curvature in Riemannian submersions and applies these concepts to meteorology, providing characterizations of vertical motion and horizontal divergence.

Contribution

It introduces an optimal inequality related to delta curvature and applies Riemannian submersions to meteorological phenomena, offering new characterizations.

Findings

Derived an optimal inequality involving delta curvature.

Applied Riemannian submersions to meteorology.

Characterized vertical motion and horizontal divergence.

Abstract

In this paper, an optimal inequality involving the delta curvature is exposed. An application of Riemannian submersions dealing meteorology is presented. Some characterizations about the vertical motion and the horizontal divergence are obtained.