Symmetric convex sets with minimal Gaussian surface area

DOI10.1353/ajm.2021.0000zbMath1462.53003arXiv1705.06643OpenAlexW3118342976MaRDI QIDQ5854666

Steven Heilman

Publication date: 17 March 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06643

zbMATH Keywords

eigenfunctionssecond variation formulaOrnstein-Uhlenbeck type operatorColding-Minicozzi entropyGaussian minimal surfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Flows related to mean curvature (53E10)

Related Items (11)

Compactness and Rigidity of λ-Surfaces ⋮ Low correlation noise stability of symmetric sets ⋮ Symmetry of minimizers of a Gaussian isoperimetric problem ⋮ Examples of compact embedded convex \(\lambda \)-hypersurfaces ⋮ A note on mean convex 𝜆-surfaces in ℝ³ ⋮ Three candidate plurality is stablest for small correlations ⋮ Complete \(\lambda\)-surfaces in \(\mathbb{R}^3\) ⋮ Volume estimates and classification theorem for constant weighted mean curvature hypersurfaces ⋮ The structure of Gaussian minimal bubbles ⋮ Complete \(\lambda\)-hypersurfaces in Euclidean spaces ⋮ Convexity of 𝜆-hypersurfaces

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