Calculus of Variations and Geometric Measure Theory

B. Firester - R. Tsiamis - Y. Wang

Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$

created by tsiamis on 20 Jan 2026

[BibTeX]

preprint

Inserted: 20 jan 2026

Year: 2025

ArXiv: 2507.22373 PDF

Abstract:

We show the uniqueness of the cylindrical tangent cone $C(\mathbb{S}^2 \times \mathbb{S}^4) \times \mathbb{R}$ for area-minimizing hypersurfaces in $\mathbb{R}^9$, completing the uniqueness of all tangent cones of the form $C_{p,q} \times \mathbb{R}$ proved by Simon for dimensions at least 10 and Székelyhidi for the Simons cone.