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On the false pole problem

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Abstract.

We prove that if a convex body \(K\subset {\Bbb E}^{d}\) has an interior false pole with respect to some hyperplane, then the body is an ellipsoid.

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Authors and Affiliations

  1. University College, London, UK

    D. G. Larman & E. Morales-Amaya

  2. UNAM, Mexico City, Mexico

    E. Morales-Amaya

Authors
  1. D. G. Larman
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  2. E. Morales-Amaya
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Additional information

This research was partially carried out during the postdoctoral visit of this author at University College London, and it was supported by CONACYT, México.

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Larman, D., Morales-Amaya, E. On the false pole problem. Mh Math 151, 271–286 (2007). https://doi.org/10.1007/s00605-007-0448-6

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  • DOI: https://doi.org/10.1007/s00605-007-0448-6

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