• Corpus ID: 239998791

A new and simple proof of the false centre theorem

@inproceedings{Montejano2021ANA,
  title={A new and simple proof of the false centre theorem},
  author={Luis Pedro Montejano and Efr'en Morales-Amaya},
  year={2021}
}
Theorem 1.1 was first proved in all its generality by D. G. Larman [4]. Theorem 1.3 was proved by C. A. Rogers [7], when p ∈ int K and by G. R. Burton in general (Theorem 2 of [2]). Theorem 1.2 was first proved by H. Brunn [1] under the hypothesis of regularity and in general by G. R. Burton [3] (see (3.3) and (3.6) of Petty’s survey [6]). For more about characterization of ellipsoids see [8] and Section 2.12 of [5]. We need some notation. Let K be a convex body in euclidean 3-space R, let p… 

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Über Kurven ohne Wendepunkte