Calculus of Variations and Geometric Measure Theory

G. Vianello

Minimality of free-boundary axial hyperplanes in high dimensional circular cones via calibration

created by vianello on 10 Jan 2026

[BibTeX]

Preprint

Inserted: 10 jan 2026
Last Updated: 10 jan 2026

Year: 2026

Abstract:

Consider an $(n+1)$-dimensional circular cone. Using a calibration argument, we prove that if $n≥4$ and the aperture of the cone is sufficiently large, the intersection of the cone with an axial hyperplane is area-minimizing with respect to free-boundary variations inside the cone.


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