70774 20190709135512.0 doi 10.1016/j.difgeo.2017.03.016 sideral 99256 ART-2017-99256 eng (orcid)0000-0001-5426-5248 Latorre Larrodé, Adela Universidad de Zaragoza On generalized gauduchon nilmanifolds 2017 Access copy available to the general public Unrestricted We 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. info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.76 2017 MATHEMATICS 131 / 309 = 0.424 2017 Q2 T2 MATHEMATICS, APPLIED 170 / 252 = 0.675 2017 Q3 T3 0.791 2017 Analysis 2017 Q2 Geometry and Topology 2017 Q2 Computational Theory and Mathematics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0003-2207-8653 Ugarte Vilumbrales, Luis Universidad de Zaragoza (orcid)0000-0001-6790-7342 Villacampa Gutierrez, Raquel 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 54, Part A (2017), 151-164 [15 p.] Differ. geom. appl. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 0926-2245 324084 http://zaguan.unizar.es/record/70774/files/texto_completo.pdf Postprint 95299 http://zaguan.unizar.es/record/70774/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:70774 articulos driver 2019-07-09-11:52:39 ARTICLE