Journal article
Flowing maps to minimal surfaces
- Abstract:
-
We introduce a flow of maps from a compact surface of arbitrary genus to an arbitrary Riemannian manifold which has elements in common with both the harmonic map flow and the mean curvature flow, but is more effective at finding minimal surfaces. In the genus 0 case, our flow is just the harmonic map flow, and it tries to find branched minimal 2-spheres as in Sacks-Uhlenbeck (1981) and Struwe (1985), etc. In the genus 1 case, we show that our flow is exactly equivalent to that considered by D...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
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- Files:
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(pdf, 259.8KB)
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- Publisher copy:
- 10.1353/ajm.2016.0035
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Authors
Bibliographic Details
- Publisher:
- Johns Hopkins University Press Publisher's website
- Journal:
- American Journal of Mathematics Journal website
- Volume:
- 138
- Issue:
- 4
- Pages:
- 1095-1115
- Publication date:
- 2016-08-05
- DOI:
- EISSN:
-
1080-6377
- ISSN:
-
0002-9327
- Pubs id:
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pubs:581597
- URN:
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uri:6c04db10-3601-4f96-b3c2-1ddad9e06086
- UUID:
-
uuid:6c04db10-3601-4f96-b3c2-1ddad9e06086
- Local pid:
- pubs:581597
Item Description
- Keywords:
Terms of use
- Copyright holder:
- © 2016 by Johns Hopkins University Press
- Copyright date:
- 2016
- Notes:
- This is the author accepted manuscript following peer review version of the article. The final version is available online from Johns Hopkins University Press at: 10.1353/ajm.2016.0035
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