000070831 001__ 70831 000070831 005__ 20201217140621.0 000070831 0247_ $$2doi$$a10.1515/coma-2018-0004 000070831 0248_ $$2sideral$$a106111 000070831 037__ $$aART-2018-106111 000070831 041__ $$aeng 000070831 100__ $$0(orcid)0000-0001-5426-5248$$aLatorre Larrodé, Adela 000070831 245__ $$aA family of complex nilmanifolds with infinitely many real homotopy types 000070831 260__ $$c2018 000070831 5060_ $$aAccess copy available to the general public$$fUnrestricted 000070831 5203_ $$aWe find a one-parameter family of non-isomorphic nilpotent Lie algebras ga , with a ¿ [0, 8), of real dimension eight with (strongly non-nilpotent) complex structures. By restricting a to take rational values, we arrive at the existence of in nitely many real homotopy types of 8-dimensional nilmanifolds admitting a complex structure. Moreover, balanced Hermitian metrics and generalized Gauduchon metrics on such nilmanifolds are constructed. 000070831 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P 000070831 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000070831 592__ $$a0.643$$b2018 000070831 593__ $$aGeometry and Topology$$c2018$$dQ2 000070831 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000070831 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte Vilumbrales, Luis$$uUniversidad de Zaragoza 000070831 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa Gutiérrez, Raquel 000070831 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000070831 773__ $$g5 (2018), 89-102$$pComplex Manifolds$$tComplex Manifolds$$x2300-7443 000070831 8564_ $$s591629$$uhttps://zaguan.unizar.es/record/70831/files/texto_completo.pdf$$yVersión publicada 000070831 8564_ $$s91814$$uhttps://zaguan.unizar.es/record/70831/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000070831 909CO $$ooai:zaguan.unizar.es:70831$$particulos$$pdriver 000070831 951__ $$a2020-12-17-14:04:52 000070831 980__ $$aARTICLE