000070774 001__ 70774 000070774 005__ 20190709135512.0 000070774 0247_ $$2doi$$a10.1016/j.difgeo.2017.03.016 000070774 0248_ $$2sideral$$a99256 000070774 037__ $$aART-2017-99256 000070774 041__ $$aeng 000070774 100__ $$0(orcid)0000-0001-5426-5248$$aLatorre Larrodé, Adela$$uUniversidad de Zaragoza 000070774 245__ $$aOn generalized gauduchon nilmanifolds 000070774 260__ $$c2017 000070774 5060_ $$aAccess copy available to the general public$$fUnrestricted 000070774 5203_ $$aWe 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. 000070774 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P 000070774 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000070774 590__ $$a0.76$$b2017 000070774 591__ $$aMATHEMATICS$$b131 / 309 = 0.424$$c2017$$dQ2$$eT2 000070774 591__ $$aMATHEMATICS, APPLIED$$b170 / 252 = 0.675$$c2017$$dQ3$$eT3 000070774 592__ $$a0.791$$b2017 000070774 593__ $$aAnalysis$$c2017$$dQ2 000070774 593__ $$aGeometry and Topology$$c2017$$dQ2 000070774 593__ $$aComputational Theory and Mathematics$$c2017$$dQ2 000070774 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000070774 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte Vilumbrales, Luis$$uUniversidad de Zaragoza 000070774 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa Gutierrez, Raquel 000070774 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000070774 773__ $$g54, Part A (2017), 151-164 [15 p.]$$pDiffer. geom. appl.$$tDIFFERENTIAL GEOMETRY AND ITS APPLICATIONS$$x0926-2245 000070774 8564_ $$s324084$$uhttps://zaguan.unizar.es/record/70774/files/texto_completo.pdf$$yPostprint 000070774 8564_ $$s95299$$uhttps://zaguan.unizar.es/record/70774/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000070774 909CO $$ooai:zaguan.unizar.es:70774$$particulos$$pdriver 000070774 951__ $$a2019-07-09-11:52:39 000070774 980__ $$aARTICLE