Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS WITH INTEGRAL RICCI CURVATURE BOUND

  • Wu, Bing-Ye (Institution of Mathematics Minjiang University)
  • Received : 2018.07.01
  • Accepted : 2018.12.05
  • Published : 2019.07.31
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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.

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References

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