Low energy $arepsilon$-harmonic maps into the round sphere

In this paper we classify the low energy $\varepsilon$-harmonic maps from the surfaces of constant curvature with positive genus into the round sphere. We find that all such maps with degree $\pm1$ are all quantitively close to a bubble configuration with bubbles forming at special points on the domain with bubbling radius proportional to $\varepsilon^{1/4}$.

💡 Research Summary

This paper investigates ε‑harmonic maps from closed Riemann surfaces Σ of constant curvature (genus γ ≥ 1) into the unit sphere S², focusing on the low‑energy regime where the ε‑energy
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