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Convexity of Mean Convex Self-Expanders by Enzo Ric is a document available to read on EtoBox.
This paper investigates the convexity of mean convex asymptotically conical self-expanders to the mean curvature flow in Rn+1, demonstrating that for n ≥ 3, any complete mean convex self-expander asymptotic to mean convex and weakly convex cones is strictly convex. The study builds on previous results regarding self-expanders and their properties, particularly focusing on the implications of curvature at infinity on the geometry of these surfaces. The findings extend existing theorems and contribute to the
- Author
- Enzo Ric
- Language
- EN