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Willmore Conjecture via Min-Max Theory by Xinze Li is a document available to read on EtoBox.
What is Willmore Conjecture via Min-Max Theory about?
The paper proves the Willmore conjecture, which states that the integral of the square of the mean curvature of a torus immersed in R3 is at least 2π², using min-max theory of minimal surfaces. The authors establish that the equality holds for the Clifford torus and provide various theorems related to the Willmore energy and minimal surfaces in S3. The document outlines the theoretical framework and technical aspects necessary for the proof, including definitions and properties of geometric measure theory.
- Author
- Xinze Li
- Language
- EN