闭子流形的能量自斥性
Self-repulsiveness of energies for closed submanifolds
摘要：
我们证明了当$M$退化为有二重点时，如果$\a\le-2\dim M$是$\RR^n$中的闭子流形$M$的正则RieszPDMATHABMM-能量爆破.这为90年代以来开展的表面演化以降低能量的数值试验提供了理论基础。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
