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Two Compactness Theorems on Finsler Manifolds with Positive Weighted Ricci Curvature

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Abstract

In this paper, we obtain two Myers type compactness theorems for a Finsler manifold with a positive weighted Ricci curvature bound and a reasonable condition on the distortion or the S curvature.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Tongling University, Tongling, 244000, Anhui, China

    Songting Yin

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  1. Songting Yin
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Correspondence to Songting Yin.

Additional information

This project is supported by AHNSF (1608085MA03) and NNSFC(11471246).

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Yin, S. Two Compactness Theorems on Finsler Manifolds with Positive Weighted Ricci Curvature. Results Math 72, 319–327 (2017). https://doi.org/10.1007/s00025-017-0673-9

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  • DOI: https://doi.org/10.1007/s00025-017-0673-9

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