A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows
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- by Dongsheng Li, Yingfeng Xu and Yu Yuan PDF
- Proc. Amer. Math. Soc. 146 (2018), 3057-3061 Request permission
Abstract:
We prove rigidity of any properly immersed noncompact Lagrangian shrinker with single valued Lagrangian angle for Lagrangian mean curvature flows. Our pointwise approach also provides an elementary proof to the known rigidity results for graphical and almost graphical shrinkers of mean curvature flows.References
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Additional Information
- Dongsheng Li
- Affiliation: School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China
- MR Author ID: 647543
- Email: lidsh@mail.xjtu.edu.cn
- Yingfeng Xu
- Affiliation: School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China
- Email: xuyingfeng@stu.xjtu.edu.cn
- Yu Yuan
- Affiliation: Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195
- Email: yuan@math.washington.edu
- Received by editor(s): July 13, 2017
- Published electronically: March 20, 2018
- Additional Notes: The first and the second authors were partially supported by NSFC 11671316
The third author was partially supported by an NSF grant - Communicated by: Lei Ni
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 3057-3061
- MSC (2010): Primary 53C24; Secondary 53C44, 35J60
- DOI: https://doi.org/10.1090/proc/14033
- MathSciNet review: 3787366