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A gap theorem for $alpha$-harmonic maps between two-spheres

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 نشر من قبل Tobias Lamm
 تاريخ النشر 2019
  مجال البحث
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In this paper we consider approximations introduced by Sacks-Uhlenbeck of the harmonic energy for maps from $S^2$ into $S^2$. We continue the analysis in [6] about limits of $alpha$-harmonic maps with uniformly bounded energy. Using a recent energy identity in [7], we obtain an optimal gap theorem for the $alpha$-harmonic maps of degree $-1, 0$ or $1$.



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