Examples of compact embedded convex \(\lambda \)-hypersurfaces

DOI10.1016/j.jfa.2023.110211MaRDI QIDQ6184585

Junqi Lai, Guoxin Wei, Qing-Ming Cheng

Publication date: 25 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

mean curvature flowconvex hypersurfacesself-shrinkersembedded

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Cites Work

• Unnamed Item
• Embedded self-similar shrinkers of genus 0
• Generic mean curvature flow. I: Generic singularities
• The hyperplane is the only stable, smooth solution to the isoperimetric problem in Gaussian space
• Examples of compact \(\lambda\)-hypersurfaces in Euclidean spaces
• Asymptotic behavior for singularities of the mean curvature flow
• The normalized curve shortening flow and homothetic solutions
• Complete \(\lambda \)-hypersurfaces of weighted volume-preserving mean curvature flow
• 1-dimensional solutions of the \(\lambda \)-self shrinkers
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Convexity of 𝜆-hypersurfaces
• Compactness and Rigidity of λ-Surfaces
• A note on mean convex 𝜆-surfaces in ℝ³
• An immersed 𝑆² self-shrinker
• Immersed self-shrinkers
• Symmetric convex sets with minimal Gaussian surface area

This page was built for publication: Examples of compact embedded convex \(\lambda \)-hypersurfaces