We show the validity of the log-Brunn-Minkowski inequality for origin symmetric convex bodies, in a neighborhood of the unit ball with respect to a suitable metric.
A note on the quantitative local version of the log-Brunn–Minkowski inequality / Colesanti, Andrea; Livshyts, Galyna. - STAMPA. - (2020), pp. 85-98. [10.1515/9783110656756-006]
A note on the quantitative local version of the log-Brunn–Minkowski inequality
Colesanti, Andrea;
2020
Abstract
We show the validity of the log-Brunn-Minkowski inequality for origin symmetric convex bodies, in a neighborhood of the unit ball with respect to a suitable metric.
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