Sabau V. Sorin (東海大学)

Finsler metrics on sphere of constant flag curvature

In this talk, we show that there is a natural correspondence between positively curves Zoll surfaces and Finsler metrics of constant flag curvature K=1 on 2-dimensional spheres. We show how is possible to obtain the corresponding Finsler metrics by means of the Cartan duality. Several concrete examples are also given.

数理情報科学セミナー