Free Download An Introduction to Riemann-Finsler Geometry by D. Bao , S.-S. Chern , Z. Shen
English | PDF | 2000 | 453 Pages | ISBN : 038798948X | 55.4 MB
In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe?