Self-repulsiveness of energies for closed submanifolds

Jun O'Hara

doi:10.1002/mana.202000158

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arXiv · 2004.02351

Self-repulsiveness of energies for closed submanifolds

Jun O'Hara

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Abstract

We show that the regularized Riesz $\a$-energy for closed submanifolds $M$ in $\RR^n$ blows up as $M$ degenerates to have double points if $\a\le-2\dim M$. This gives theoretical foundation of numerical experiments to evolve surfaces to decrease the energy which have been carried out since 90's.

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Jun O'Hara. 2021-05-11. Self-repulsiveness of energies for closed submanifolds. https://doi.org/10.1002/mana.202000158

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