Harmonic maps from degenerating Riemann surfaces |
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| Authors: | Miaomiao Zhu |
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| Affiliation: | 1. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103, Leipzig, Germany
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| Abstract: | We study harmonic maps from degenerating Riemann surfaces with uniformly bounded energy and show the so-called generalized energy identity. We find conditions that are both necessary and sufficient for the compactness in W 1,2 and C 0 modulo bubbles of sequences of such maps. |
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