幾何学コロキウム：Finsler metrics on sphere of constant flag curvature（Sorin Sabau 氏，東海大学札幌）

開催日時

2018年6月29日 16時30分 ～ 18時00分

場所

理学部３号館３－２０４室

講演者

Sorin Sabau 氏（東海大学札幌）

Abstract：
We show how Zoll metrics of positive Gauss curvature induces a Finsler metric of constant flag curvature K=1 on the 2-dimensional sphere. We also show how to introduce local coordinates on the manifold of geodesics of a sphere endowed with Zoll metric and write down explicitly the induced Finsler fundamental function. Our study shows that the manifold of geodesics of a Zoll metric with positive Gauss curvatures naturally inherits a Finsler structure of constant flag curvature K=1.