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<p>This paper will deal with a nonlocal geometric flow in centro-equiaffine geometry, which keeps the enclosed area of the evolving curve and converges smoothly to an ellipse. This model can be viewed as the affine version of Gage’s area-preserving flow in Euclidean geometry.</p>

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On a Centro-equiaffine Area-preserving Flow

  • 期刊论文

  • 发表日期：

    2025年4月15日

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  • Yunlong Yang,
  • Yanlong Zhang

摘要

This paper will deal with a nonlocal geometric flow in centro-equiaffine geometry, which keeps the enclosed area of the evolving curve and converges smoothly to an ellipse. This model can be viewed as the affine version of Gage’s area-preserving flow in Euclidean geometry.