| Autor: |
Rupflin, Melanie, Topping, Peter M. |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Analysis & PDE 12 (2019) 815-842 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.2140/apde.2019.12.815 |
| Popis: |
We analyse finite-time singularities of the Teichm\"uller harmonic map flow -- a natural gradient flow of the harmonic map energy -- and find a canonical way of flowing beyond them in order to construct global solutions in full generality. Moreover, we prove a no-loss-of-topology result at finite time, which completes the proof that this flow decomposes an arbitrary map into a collection of branched minimal immersions connected by curves. |
| Databáze: |
arXiv |
| Externí odkaz: |
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