Journal article
Finite‐time degeneration for variants of Teichmüller harmonic map flow
- Abstract:
-
We consider the question of whether solutions of variants of Teichmüller harmonic map flow from surfaces 𝑀 to general targets can degenerate in finite time. For the original flow from closed surfaces of genus at least 2, as well as the flow from cylinders, we prove that such a finite‐time degeneration must occur in situations where the image of thin collars is ‘stretching out’ at a rate of at least inj(𝑀,𝑔)−(14+𝛿) , and we construct targets in which the flow from cylinders must indeed dege...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- London Mathematical Society Publisher's website
- Journal:
- Journal of the London Mathematical Society Journal website
- Volume:
- 102
- Issue:
- 2
- Pages:
- 535-556
- Publication date:
- 2020-05-05
- Acceptance date:
- 2020-01-31
- DOI:
- ISSN:
-
0024-6107
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1087022
- Local pid:
- pubs:1087022
- Deposit date:
- 2020-02-12
Terms of use
- Copyright holder:
- Robertson and Rupflin
- Copyright date:
- 2020
- Rights statement:
- © 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
- Notes:
-
This is the accepted manuscript version of the article. The final version is available from Wiley at https://doi.org/10.1112/jlms.12327
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