doi:10.1016/j.difgeo.2017.03.016engLatorre Larrodé, AdelaUgarte Vilumbrales, LuisVillacampa Gutierrez, RaquelOn generalized gauduchon nilmanifoldsART-2017-99256We construct invariant generalized Gauduchon metrics on the product of two complex nilmanifolds that do not necessarily admit this kind of metrics. In particular, we prove that the product of a locally conformal Kähler nilmanifold and a balanced nilmanifold admits a generalized Gauduchon metric. In complex dimension 4, generalized Gauduchon nilmanifolds with (the highest possible) nilpotency step are given, as well as 3-step and 4-step examples for which the center of their underlying Lie algebras does not contain any non-trivial J-invariant ideal. These examples show strong differences between the SKT and the generalized Gauduchon geometries of nilmanifolds.2017http://zaguan.unizar.es/record/7077410.1016/j.difgeo.2017.03.016http://zaguan.unizar.es/record/70774oai:zaguan.unizar.es:70774info:eu-repo/grantAgreement/ES/DGA/E15info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-PDIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 54, Part A (2017), 151-164 [15 p.]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess