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math.AP2018
An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow
Kohei Nakamura
In recent work of Nagasawa and the author, new interpolation inequalities between the deviation of curvature and the isoperimetric ratio were proved. In this paper, we apply such e…
math.AP2018
Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows
Takeyuki Nagasawa, Kohei Nakamura
Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoper…