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arXiv · 2507.22373

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

Benjy Firester·Raphael Tsiamis·Yipeng Wang
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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 Sz\'ekelyhidi for the Simons cone.

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Benjy Firester, Raphael Tsiamis, Yipeng Wang. 2025-07-30. Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$. https://doi.org/10.1007/s00526-025-03238-5

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