Abstract
We explore geometric aspects of bubble convergence for harmonic maps. More precisely, we show that the formation of bubbles is characterized by the local excess of curvature on the target manifold. We give a universal estimate for curvature concentration masses at each bubble point and show that there is no curvature loss in the necks. Our principal hypothesis is that the target manifold is Kähler.
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Communicated by Jiaping Wang.
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Kokarev, G. Curvature and Bubble Convergence of Harmonic Maps. J Geom Anal 23, 1058–1077 (2013). https://doi.org/10.1007/s12220-011-9273-1
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DOI: https://doi.org/10.1007/s12220-011-9273-1