Motion by curvature of planar networks

We relate the total curvature and the isoperimetric deficit of a curve $γ$ in a two-dimensional space of constant curvature with the area enclosed by the evolute of $γ$ . We provide also a Gauss-Bonnet theorem for a special class of evolutes.

Immersed surfaces with constant curvature near infinity

David D. Bleecker (1978)

Compositio Mathematica

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Game-theoretic schemes for generalized curvature flows in the plane.

Rudd, Matthew (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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