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20132020
most citedInterpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows

5 citations · 11 across the 9 of their papers we have counts for

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math.AP2018★ 5 cited

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…

math.FA2018

A Möbius invariant discretization of O'Hara's Möbius energy

Simon Blatt, Aya Ishizeki, Takeyuki Nagasawa

We introduce a new discretization of O'Hara's Möbius energy. In contrast to the known discretizations of Simon and Kim and Kusner it is invariant under Möbius transformations of th…