Abstract
We show that any harmonic sequence determined by a harmonic map from a compact Riemannian surface M to ℂℙn has a terminating holomorphic (or anti-holomorphic) map from M to ℂℙn, or a “bubble tree limit” consisting of a harmonic map \( \hat f \): M → ℂℙn and a tree of bubbles h µλ : S 2 → ℂℙn.
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Supported by National Natural Science Foundation of China (Grant No. 10771004)
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Mo, X.H., Sun, F. Bubble tree convergence for the harmonic sequence of harmonic surfaces in ℂℙn . Acta. Math. Sin.-English Ser. 26, 1277–1286 (2010). https://doi.org/10.1007/s10114-010-8599-0
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DOI: https://doi.org/10.1007/s10114-010-8599-0