Abstract
In this paper we prove that the extreme volume of any complete noncompact Finsler manifold with finite uniformity constant must have polynomial growth of order \(\geqslant 1\) provided the integrate of the negative part of Ricci curvature satisfies certain condition. The result is new even for Riemannian case.
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Acknowledgements
This work was completed while I was visiting Fukuoka University during August 2019 to July 2020. I would like to thank Professor Qingming Cheng for his valuable suggestions and hospitality.
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Wu, BY. Volume Growth of Finsler Manifolds with Integral Ricci Curvature Bound. Results Math 76, 212 (2021). https://doi.org/10.1007/s00025-021-01527-x
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DOI: https://doi.org/10.1007/s00025-021-01527-x