22 citations · 59 across the 32 of their papers we have counts for
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math.MG2010★ 1 cited
The incenter of a triangle as a cone isoperimetric center
Jun O'Hara
We show that the the image of the regular projection of a vertex of a cone over a triangle that minimizes the ratio of the cube of the area of the boundary of the cone and the squa…
math.DG2010★ 4 cited
Möbius invariant energies and average linking with circles
Jun O'Hara, Gil Solanes
We define and study a Möbius invariant energy associated to planar domains, as well its generalization to space curves. This generalization is a Möbius version of Banchoff-Pohl's n…
math.DG2010★ 22 cited
Renormalization of potentials and generalized centers
Jun O'Hara
We generalize the Riesz potential of a compact domain in by introducing a renormalization of the -potential for . This can be considered as general…