The L-Brunn-Minkowski inequality for p < 1

By Shibing Chen, Yong Huang, Qi-Rui Li, Jiakun Liu. 2020

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Abstract In this paper, we confirm the L p -Brunn-Minkowski inequality conjecture for p close to 1. The logarithmic-Brunn-Minkowski inequality is also verified for convex bodies close to the unit ball in Hausdorff distance.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9a2c78182d6af211baf058aab66bd7a5cefd3153