A note on the fundamental group of Finsler manifolds with nonnegative flag curvature

作者：Wu Bing Ye^*

来源：Differential Geometry and its Applications, 2013, 31(5): 643-647.

DOI：10.1016/j.difgeo.2013.06.004

• Finsler manifold
• Flag curvature
• T-curvature
• Fundamental group

In this note we prove that the fundamental group of any forward complete Finsler manifold with nonnegative flag curvature is finitely generated provided the line integral of T-curvature is small. In particular, the fundamental group of any forward complete Berwald manifold with nonnegative flag curvature is finitely generated.

• 出版日期2013-10
• 单位闽江学院