Published Paper

Inserted: 20 jan 2026
Last Updated: 18 apr 2026

Journal: Calc. Var. PDE
Volume: 65
Number: 165
Year: 2026
Doi: https://doi.org/10.1007/s00526-025-03238-5

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.