Moving planes, Jacobi curves and the dynamical approach to Finsler geometry
Differential Geometry
2017-01-23 v2
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.
Keywords
Cite
@article{arxiv.1701.01705,
title = {Moving planes, Jacobi curves and the dynamical approach to Finsler geometry},
author = {Carlos Duran and Henrique Vitorio},
journal= {arXiv preprint arXiv:1701.01705},
year = {2017}
}
Comments
27 pages. Necessary references added, introduction modified accordingly