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A characterisation of the ellipsoid in terms of concurrent sections

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Commentarii Mathematici Helvetici

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References

  1. P. W. Aitchison, A characterisation of the ellipsoid,J. Austral. Math. Soc. 11 (1970), 385–394.

    Article  MathSciNet  MATH  Google Scholar 

  2. —, The determination of convex bodies by some local conditions,Duke Math. J, 41 (1974), 193–209.

    Article  MathSciNet  MATH  Google Scholar 

  3. —,C. M. Petty andC. A. Rogers, A convex body with a false centre is an ellipsoid,Mathematika 18 (1971), 50–59.

    MathSciNet  MATH  Google Scholar 

  4. T. Bonneson andW. Finchel, Theorie der konvexen Körper (Springer, Berlin, 1934).

    Google Scholar 

  5. G. R. Burton, Sections of convex bodies,J. London Math. Soc. (2)12 (1976), 331–336.

    MathSciNet  MATH  Google Scholar 

  6. H. Busemann, The geometry of geodesics (Academic Press, New York, 1955).

    MATH  Google Scholar 

  7. D. G. Larman, A note on the false centre problem,Mathematika 21 (1974), 216–227.

    Article  MathSciNet  Google Scholar 

  8. C. A. Rogers, Sections and projections of convex bodies,Portugaliae Math. 24 (1965), 99–103.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, University College London, London, UK

    G. R. Burton & P. Mani

  2. Mathematisches Institut, Universität Bern, Bern, Switzerland

    G. R. Burton & P. Mani

Authors
  1. G. R. Burton
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  2. P. Mani
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Dedicated to Hugo Hadwiger on his seventieth birthday

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Burton, G.R., Mani, P. A characterisation of the ellipsoid in terms of concurrent sections. Commentarii Mathematici Helvetici 53, 485–507 (1978). https://doi.org/10.1007/BF02566093

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  • DOI: https://doi.org/10.1007/BF02566093

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