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Remarks on the equality case of the Bonnesen inequality

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Abstract

An argument is provided for the equality case of the high dimensional Bonnesen inequality for sections. The known equality case of the Bonnesen inequality for projections is presented as a consequence.

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Authors and Affiliations

  1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary

    Károly J. Böröczky

  2. Universitat Politècnica de Catalunya, Barcelona Tech., Catalonia, Spain

    Oriol Serra

Authors
  1. Károly J. Böröczky
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  2. Oriol Serra
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Corresponding author

Correspondence to Károly J. Böröczky.

Additional information

K. J. Böröczky is supported by OTKA grant 75016 and by the EU Marie Curie FP7 IEF grant GEOSUMSETS. O. Serra is supported by the Catalan Research Council under project 2008SGR0258 and the Spanish Research Council under project MTM2008-06620-C03-01.

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Böröczky, K.J., Serra, O. Remarks on the equality case of the Bonnesen inequality. Arch. Math. 99, 189–199 (2012). https://doi.org/10.1007/s00013-012-0418-7

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  • DOI: https://doi.org/10.1007/s00013-012-0418-7

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