# Moving planes, Jacobi curves and the dynamical approach to Finsler geometry

## TL;DR

This paper introduces a geometric framework using moving planes and Jacobi curves to analyze invariants of Finsler manifolds, providing new insights and applications in the field.

## Contribution

It presents a novel approach to Finsler geometry by expressing invariants through moving planes and Jacobi curves, linking geometric structures to Grassmann manifolds.

## Key findings

- New geometric invariants for Finsler manifolds identified
- Applications demonstrating the utility of the approach provided
- Connections established between Jacobi curves and Finsler invariants

## Abstract

We express invariants of Finsler manifolds in a geometrical way by means of using moving planes and their associated Jacobi curves, which are curves in a fixed homogeneous Grassmann manifold. Some applications are given.