Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMPARISON THEOREMS IN RIEMANN-FINSLER GEOMETRY WITH LINE RADIAL INTEGRAL CURVATURE BOUNDS AND RELATED RESULTS

  • Wu, Bing-Ye (Institution of Mathematics Minjiang University)
  • Received : 2018.03.30
  • Accepted : 2018.06.28
  • Published : 2019.03.01
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Abstract

We establish some Hessian comparison theorems and volume comparison theorems for Riemann-Finsler manifolds under various line radial integral curvature bounds. As their applications, we obtain some results on first eigenvalue, Gromov pre-compactness and generalized Myers theorem for Riemann-Finsler manifolds under suitable line radial integral curvature bounds. Our results are new even in the Riemannian case.

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References

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