A direct proof of the Brunn-Minkowski inequality in nilpotentLie groups Pozuelo Domínguez, Julián Brunn-Minkowski inequality Nilpotent Lie groups Nilpotent Lie algebras The author would like to thank his Ph.D. advisor Manuel Ritoré for sugesting the problem and his help The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann’s one of the classical Brunn-Minkowski inequality in Euclidean space. 2022-07-22T09:44:20Z 2022-07-22T09:44:20Z 2022-06-13 journal article J. Pozuelo J. A direct proof of the Brunn-Minkowski inequality in nilpotentLie groups. Math. Anal. Appl. 515 (2022) 126427 [https://doi.org/10.1016/j.jmaa.2022.126427] http://hdl.handle.net/10481/76329 10.1016/j.jmaa.2022.126427 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier