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arXiv · 1810.05775

The log-Brunn-Minkowski inequality in $\mathbb{R}^3$

Yunlong Yang·Deyan Zhang
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Abstract

B\"or\"oczky, Lutwak, Yang and Zhang recently proved the log-Brunn-Minkowski inequality which is stronger than the classical Brunn-Minkowski inequality for two origin-symmetric convex bodies in the plane. This paper establishes the log-Brunn-Minkowski, log-Minkowski, $L_p$-Minkowski and $L_p$-Brunn-Minkowski inequalities for two convex bodies in $\mathbb{R}^3$.

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BibTeXRIS

Yunlong Yang, Deyan Zhang. 2018-10-13. The log-Brunn-Minkowski inequality in $\mathbb{R}^3$. https://doi.org/10.1090/proc%2F14366

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