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 Generalized Myers theorem for Finsler manifolds with integral Ricci curvature bound Bull. Korean Math. Soc.Published online July 9, 2019 Bing Ye Wu Minjiang University Abstract : We establish the generalized Myers theorem for Finsler manifolds under integral Ricci curvature bound. More precisely, we show that the forward complete Finsler $n$-manifold whose part of Ricci curvature less than a positive constant is small in $L^p$-norm (for $p>n/2$) have bounded diameter and finite fundamental group. Keywords : extreme volume form, Finsler manifold, Ricci curvature, uniformity constant, fundamental group MSC numbers : 53C60 Full-Text :