most citedWhitney-Graustein Homotopy of Locally Convex Curves via a Curvature Flow

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.DG2024

Star-shaped Curves under Gage's Area-preserving Flow and the CSF

Laiyuan Gao, Shicheng Zhang, Yuntao Zhang

Mayer asks a question what closed, embedded and nonconvex initial curves guarantee that Gage's area-preserving flow (GAPF) exists globally. A folklore conjecture since 2012 says th…

math.DG2020★ 1 cited

Whitney-Graustein Homotopy of Locally Convex Curves via a Curvature Flow

Laiyuan Gao

Let be two smooth, closed and locally convex curves in the plane with same winding number. A curvature flow with a nonlocal term is constructed to evolve …