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Uniqueness of Cylindrical Tangent Cones Cp,q × ℝ

2025/07/30 by Firester, Benjy, Tsiamis, Raphael, Wang, Yipeng
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.22373

Abstract

We show the uniqueness of the cylindrical tangent cone C(\mathbbS2 × \mathbbS4) × ℝ for area-minimizing hypersurfaces in ℝ9, completing the uniqueness of all tangent cones of the form Cp,q × ℝ proved by Simon for dimensions at least 10 and Székelyhidi for the Simons cone.

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