Uniqueness of a 3D ellipsoid with given intrinsic volumes

2019/05/05 by Fedor Petrov, Petrov, Fedor, Alexander Tarasov +1
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1905.01728

openalex publication_date 2019/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be an ellipsoid in ℝⁿ. A. Gusakova and D. Zaporozhets conjectured that E is uniquely (up to rigid motions) determined by its intrinsic volumes. We prove this conjecture for n = 3.

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