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arXiv · 2009.07242

Harmonic map flow for almost-holomorphic maps

Chong Song·Alex Waldron
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Abstract

Let $Σ$ be a compact oriented surface and $N$ a compact Kähler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map $Σ\to N$ (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear.

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Chong Song, Alex Waldron. 2023-05-16. Harmonic map flow for almost-holomorphic maps. https://doi.org/10.4310/jdg%2F1729092458

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