Convexity of 𝜆-hypersurfaces

DOI10.1090/proc/15707zbMath1485.53009arXiv2104.05464OpenAlexW3166337426MaRDI QIDQ5027216

Tang-Kai Lee

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05464

zbMATH Keywords

differential inequalityprincipal curvaturesgap theoremmean convex surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Examples of compact embedded convex \(\lambda \)-hypersurfaces ⋮ Complete \(\lambda\)-hypersurfaces in Euclidean spaces

Cites Work

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• 1-dimensional solutions of the \(\lambda \)-self shrinkers
• Graphical translators for mean curvature flow
• AN ISOPERIMETRIC RESULT FOR THE GAUSSIAN MEASURE AND UNCONDITIONAL SETS
• Gap and rigidity theorems of 𝜆-hypersurfaces
• Complete translating solitons to the mean curvature flow in ℝ3 with nonnegative mean curvature
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• A note on mean convex 𝜆-surfaces in ℝ³
• Symmetric convex sets with minimal Gaussian surface area

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