Low energy $\varepsilon$-harmonic maps into the round sphere
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918450333483008 |
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| author | Roberts, Andrew M. |
| author_facet | Roberts, Andrew M. |
| contents | 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 $\varepsilon^{1/4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10913 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low energy $\varepsilon$-harmonic maps into the round sphere Roberts, Andrew M. Differential Geometry Analysis of PDEs 58E20, 53C43 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 $\varepsilon^{1/4}$. |
| title | Low energy $\varepsilon$-harmonic maps into the round sphere |
| topic | Differential Geometry Analysis of PDEs 58E20, 53C43 |
| url | https://arxiv.org/abs/2602.10913 |