论文标题
封闭子手机的能量的自我抑制
Self-repulsiveness of energies for closed submanifolds
论文作者
论文摘要
我们表明，封闭的submanifolds $ m $ in $ \ rr^n $将正规化的riesz $ \ a $ Emangy吹动为$ m $ denererates，如果$ \ a \ a \ a \ le-2 \ dim m $，则具有双点。这为数值实验提供了理论基础，以发展表面以减少自90年代以来进行的能量。
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.
