Abstract : In this paper, we put forward an argument which leads from the Brunn-Minkowski inequality to a class of Poincaré-type inequality for torsional rigidity on the boundary of a convex body of class C2+ in $\rnnn$
2.The Reverse-log-Brunn-Minkowski inequality (arXiv)
Abstract : Firstly, we propose our conjectured Reverse-log-Brunn-Minkowski inequality (RLBM). Secondly, we show that the (RLBM) conjecture is equivalent to the log-Brunn-Minkowski (LBM) conjecture proposed by Böröczky-Lutwak-Yang-Zhang. We name this as