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arXiv · 2002.12239

Log-Brunn-Minkowski inequality under symmetry

Károly J. Böröczky·Pavlos Kalantzopoulos
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Abstract

We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to $n$ independent hyperplanes, and discuss the equality case and the uniqueness of the solution of the related case of the logarithmic Minkowski problem. We also clarify a small gap in the known argument classifying the equality case of the log-Brunn-Minkowski conjecture for unconditional convex bodies.

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Károly J. Böröczky, Pavlos Kalantzopoulos. 2020-02-27. Log-Brunn-Minkowski inequality under symmetry. https://arxiv.org/abs/2002.12239

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