70831 20201217140621.0 doi 10.1515/coma-2018-0004 sideral 106111 ART-2018-106111 eng (orcid)0000-0001-5426-5248 Latorre Larrodé, Adela A family of complex nilmanifolds with infinitely many real homotopy types 2018 Access copy available to the general public Unrestricted We 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. 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/ 0.643 2018 Geometry and Topology 2018 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0003-2207-8653 Ugarte Vilumbrales, Luis Universidad de Zaragoza (orcid)0000-0001-6790-7342 Villacampa Gutiérrez, Raquel 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 5 (2018), 89-102 Complex Manifolds Complex Manifolds 2300-7443 591629 http://zaguan.unizar.es/record/70831/files/texto_completo.pdf Versión publicada 91814 http://zaguan.unizar.es/record/70831/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:70831 articulos driver 2020-12-17-14:04:52 ARTICLE