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arXiv · 1811.10164

Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows

Takeyuki Nagasawa·Kohei Nakamura
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Abstract

Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio. As applications, we study the large-time behavior of some geometric flows of closed plane curves without a convexity assumption.

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Takeyuki Nagasawa, Kohei Nakamura. 2018-11-26. Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows. https://arxiv.org/abs/1811.10164

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