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A note on the fundamental group of Finsler manifolds with nonnegative flag curvature
Authors:Bing-Ye Wu
Institution:Department of Mathematics, Minjiang University, Fuzhou 350121, Fujian, China
Abstract: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.
Keywords:Finsler manifold  Flag curvature  T-curvature  Fundamental group
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