An example of $\alpha$-harmonic map sequence for which energy identity is not true

Youde Wang; Yuxiang Li

arxiv: 1303.2862 · v2 · pith:EATSAKJVnew · submitted 2013-03-12 · 🧮 math.DG

An example of α-harmonic map sequence for which energy identity is not true

Yuxiang Li , Youde Wang This is my paper

classification 🧮 math.DG

keywords energysequencealphaharmonicidentitytrueboundedclosed

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We construct a closed Riemannian manifold $(N,h)$ and a sequence of $\alpha$-harmonic maps from $S^2$ into $N$ with uniformly bounded energy such that the energy identity for this sequence is not true.

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An example of α-harmonic map sequence for which energy identity is not true

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