Unique Determination of Ellipsoids by Their Dual Volumes

Abstract Gusakova and Zaporozhets conjectured that ellipsoids in $\mathbb R^n$ are uniquely determined (up to an isometry) by their intrinsic volumes. Petrov and Tarasov confirmed this conjecture in $\mathbb R^3$. In this paper, we solve the dual problem in all dimensions. We show that any ellipsoid...

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Veröffentlicht in:	International mathematics research notices 2022-08, Vol.2022 (17), p.13569-13589
Hauptverfasser:	Myroshnychenko, Sergii, Tatarko, Kateryna, Yaskin, Vladyslav
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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