A Grayson-type theorem for star-shaped curves

• Fang, Jianbo ^[1] ; Chen, Fangwei ^[1] ; Yang, Yunlong ^[2]
  1. [1] Guizhou University of Finance and Economics

     Guizhou University of Finance and Economics

     China

     
  2. [2] Dalian Maritime University

     Dalian Maritime University

     China

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 1, 2025, págs. 151-162
• Idioma: inglés
• DOI: 10.1007/s13348-023-00425-5
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper focuses on a length-preserving flow for star-shaped curves with respect to the origin. Under the length-preserving flow, the evolving curve keeps star-shapedness and converges smoothly to a circle, which can be regarded as a Grayson-type theorem for star-shaped curves under this flow.

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