Global weak solutions of the Teichmüller harmonic map flow into general targets
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 noloss-of-topology result at finite time,...
| Prif Awduron: | , |
|---|---|
| Fformat: | Journal article |
| Cyhoeddwyd: |
Mathematical Sciences Publishers
2018
|
| Crynodeb: | 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 noloss-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. |
|---|