Abstract
As an application of the curve shortening flow, this paper will show an inequality for the maximum curvature of a smooth simple closed curve on surfaces.
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Acknowledgements
We are grateful to the anonymous referee for his or her careful reading of the original manuscript of this short paper and giving us so many helpful suggestions and invaluable comments. We thank the anonymous referee for pointing out the rigidity of inequality (1.5).
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The first author is supported by the Fundamental Research Funds for the Central Universities (No. 3132019177) and the Doctoral Scientific Research Foundation of Liaoning Province (No. 20170520382) and the second author is supported by the National Science Foundation of China (No. 11861004).
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Yang, Y., Fang, J. An application of the curve shortening flow on surfaces. Arch. Math. 114, 595–600 (2020). https://doi.org/10.1007/s00013-020-01444-5
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DOI: https://doi.org/10.1007/s00013-020-01444-5