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math.DG2023
Deforming convex curves with constant anisotropic length
Zezhen Sun
In this paper, we study a curve flow which preserves the anisotropic length of the evolving curve, and show that for any convex closed initial curve, the flow exists for all time a…
math.DG2023
Two nonlocal inverse curvature flows of convex closed plane curves
Zezhen Sun
In this paper we introduce two -type () curvature flows for closed convex planar curves. Along the flows the length of the curve is decreasing while the enclosed ar…