%0 Journal Article %T Compact homogeneous lcK manifolds are Vaisman %A Paul Gauduchon %A Andrei Moroianu %A Liviu Ornea %J Mathematics %D 2013 %I arXiv %R 10.1007/s00208-014-1103-x %X We prove that any compact homogeneous locally conformally K\"ahler manifold has parallel Lee form. %U http://arxiv.org/abs/1312.6266v2