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The isotropic position and the reverse Santaló inequality

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Abstract

We present proofs of the reverse Santaló inequality, the existence of M-ellipsoids and the reverse Brunn-Minkowski inequality, using purely convex geometric tools. Our approach is based on properties of the isotropic position.

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Authors and Affiliations

  1. Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis 157-84, Athens, Greece

    Apostolos Giannopoulos

  2. Department of Mathematics, Texas A & M University, College Station, TX, 77843, USA

    Grigoris Paouris

  3. National and Kapodistrian University of Athens, Panepistimioupolis 157-84, Athens, Greece

    Beatrice-Helen Vritsiou

Authors
  1. Apostolos Giannopoulos
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  2. Grigoris Paouris
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  3. Beatrice-Helen Vritsiou
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Correspondence to Apostolos Giannopoulos.

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Dedicated to the memory of Joram Lindenstrauss

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Giannopoulos, A., Paouris, G. & Vritsiou, BH. The isotropic position and the reverse Santaló inequality. Isr. J. Math. 203, 1–22 (2014). https://doi.org/10.1007/s11856-012-0173-2

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  • DOI: https://doi.org/10.1007/s11856-012-0173-2

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