A survey on proof of Willmore conjecture by min-max theory
Date Issued
2014
Date
2014
Author(s)
Liu, Shu-Ming
Abstract
In 2012, the thesis: Min-max theory and Willmore conjecture wrote by Fernando C.Marques and Andre Neves. Which successful proof the well-known Willmore conjecture.
They used the method of geometric measure theory and application of Min-max theory gives a nice proof, which is how to create a special ability to use Min-max theory of canonical family, this is the whole thesis is the most important part; we will explain how to create such a canonical family in this article; on the other hand, we will addition to some property of the Willmore conjecture and their proof.
Subjects
威爾莫猜想
最小最大定理
極小曲面
Type
thesis
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ntu-103-R00221001-1.pdf
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