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A note on the Abresch—Langer conjecture

Published online by Cambridge University Press:  20 March 2014

Kai-Seng Chou  and
Xiao-Liu Wang
Kai-Seng Chou
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
Xiao-Liu Wang
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, People's Republic of China, ([email protected])
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Abstract

A saddle-point property of the self-similar solutions in the curve shortening flow was conjectured by Abresch and Langer and confirmed by Au. An improvement on Au's solution is presented.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 299 - 304
Copyright
Copyright © Royal Society of Edinburgh 2014 

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