## Ancient solutions to curve shortening with finite total curvature

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- by Sigurd Angenent and Qian You PDF
- Trans. Amer. Math. Soc.
**374**(2021), 863-880 Request permission

## Abstract:

We construct ancient solutions to curve shortening in the plane whose total curvature is uniformly bounded by gluing together an arbitrary chain of given grim reapers along their common asymptotes.## References

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## Additional Information

**Sigurd Angenent**- Affiliation: Department of Mathematics, University of Wisconsin Madison, Van Vleck Hall, 480 Lincoln Drive, Madison, Wisconsin 53706
- MR Author ID: 26245
- ORCID: 0000-0003-3515-4539
**Qian You**- Affiliation: Jersey City, New Jersey 07310
- MR Author ID: 940777
- Received by editor(s): September 19, 2018
- Received by editor(s) in revised form: December 13, 2019
- Published electronically: November 3, 2020
- © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**374**(2021), 863-880 - MSC (2010): Primary 53C44
- DOI: https://doi.org/10.1090/tran/8186
- MathSciNet review: 4196380