Resumen de Einstein Finsler metrics on S3 with nonconstant flag curvature

Libing Huang

• It is a well-known result in Riemannian geometry that a three-manifold with constant Ricci curvature must be of constant sectional curvature. But in Finsler geometry, this fact may not be true. In this paper, we constructed a two parameter family of almost regular Finsler metrics on S3. They have constant Ricci curvature +1, but their flag curvatures are nonconstant