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Evolving convex curves to constant k-order width ones by a perimeter-preserving flow

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Abstract

Motivated by Gao–Pan (Pac J Math 272(1):131–145, 2014) and Ou–Pan (Pac J Math 2:393–401, 2010), in this paper, we generalize Gao-Pan’s results to constant k-order width curves.

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Acknowledgements

I am grateful to the anonymous referee for his or her careful reading of the original manuscript of this paper, proposing some corrections and giving me some invaluable comments. I also would like to thank Ke Shi and Yanlong Zhang for useful discussions relating to this paper.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tongji University, Shanghai, 200092, China

    Jianbo Fang

  2. School of Mathematics and Statistics, Chuxiong Normal University, Chuxiong, 675000, China

    Jianbo Fang

Authors
  1. Jianbo Fang
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Correspondence to Jianbo Fang.

Additional information

This work is supported by the National Science Foundation of China (No. 11671298) and the Science Research Project of Shanghai (No. 16ZR1439200).

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Fang, J. Evolving convex curves to constant k-order width ones by a perimeter-preserving flow. manuscripta math. 157, 247–256 (2018). https://doi.org/10.1007/s00229-017-0977-9

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  • DOI: https://doi.org/10.1007/s00229-017-0977-9

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