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A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows


Authors: Dongsheng Li, Yingfeng Xu and Yu Yuan
Journal: Proc. Amer. Math. Soc. 146 (2018), 3057-3061
MSC (2010): Primary 53C24; Secondary 53C44, 35J60
DOI: https://doi.org/10.1090/proc/14033
Published electronically: March 20, 2018
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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.


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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
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

DOI: https://doi.org/10.1090/proc/14033
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
Article copyright: © Copyright 2018 American Mathematical Society

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