Bull. Korean Math. Soc. 2019; 56(4): 841-852
Online first article July 9, 2019 Printed July 31, 2019
https://doi.org/10.4134/BKMS.b180636
Copyright © The Korean Mathematical Society.
Bing-Ye Wu
Minjiang University
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: Primary 53C60; Secondary 53B40
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