Faculté des sciences

Convexity of Lp-intersection bodies

Berck, Gautier

In: Advances in Mathematics, 2009, vol. 222, no. 3, p. 920-936

We extend the classical Brunn theorem to symmetric moments of convex bodies and use it to prove the convexity of the Lp-intersection bodies of centered convex bodies. Plus

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    Summary
    We extend the classical Brunn theorem to symmetric moments of convex bodies and use it to prove the convexity of the Lp-intersection bodies of centered convex bodies.