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arXiv · 1907.08765

Cosine formula for generalized O'Hara's energies

Takeyuki Nagasawa
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Abstract

In this short article, we extend the cosine formula for the Möbius energy to generalized O'Hara energies. The newly derived formula gives us a condition for which the right circle minimizes the energy under the length-constraint. Furthermore, it shows us how far the energy is from the Möbius invariant property.

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Takeyuki Nagasawa. 2019-07-20. Cosine formula for generalized O'Hara's energies. https://arxiv.org/abs/1907.08765

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