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

期刊论文
发表日期：

2026年4月15日

查看全文

Benjy Firester,
Raphael Tsiamis,
Yipeng Wang

摘要

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

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

摘要