@misc{10481/76329, year = {2022}, month = {6}, url = {http://hdl.handle.net/10481/76329}, abstract = {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.}, organization = {Horizon 2020 project GHAIA ref. 777882}, organization = {MEC-Feder grants MTM2017-84851-C2-1-P}, organization = {PID2020-118180GB-I00}, organization = {Junta de Andalucía grants A-FQM-441-UGR18 and P20-00164}, publisher = {Elsevier}, keywords = {Brunn-Minkowski inequality}, keywords = {Nilpotent Lie groups}, keywords = {Nilpotent Lie algebras}, title = {A direct proof of the Brunn-Minkowski inequality in nilpotentLie groups}, doi = {10.1016/j.jmaa.2022.126427}, author = {Pozuelo Domínguez, Julián}, }