Generalized Myers theorem for Finsler manifolds with integral Ricci curvature bound
Bull. Korean Math. Soc.
Published online 2019 Mar 08
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
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