69633 20201217140621.0 doi 10.4171/RMI/973 sideral 99257 ART-2017-99257 eng Angella, Daniele Complex structures of splitting type 2017 Access copy available to the general public Unrestricted We study the six-dimensional solvmanifolds that admit complex structures of splitting type classifying the underlying solvable Lie algebras. In particular, many complex structures of this type exist on the Nakamura manifold X, and they allow us to construct a countable family of compact complex non-¿¿¯¯¯ manifolds Xk, k¿Z, that admit a small holomorphic deformation {(Xk)t}t¿¿k satisfying the ¿¿¯¯¯-Lemma for any t¿¿k except for the central fibre. Moreover, a study of the existence of special Hermitian metrics is also carried out on six-dimensional solvmanifolds with splitting-type complex structures. info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.039 2017 MATHEMATICS 61 / 309 = 0.197 2017 Q1 T1 1.629 2017 Mathematics (miscellaneous) 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion (orcid)0000-0002-1567-7159 Otal, Antonio (orcid)0000-0003-2207-8653 Ugarte, Luis Universidad de Zaragoza (orcid)0000-0001-6790-7342 Villacampa Gutierrez, Raquel 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 33, 4 (2017), 1309-1350 Rev. mat. iberoam. REVISTA MATEMATICA IBEROAMERICANA 0213-2230 652307 http://zaguan.unizar.es/record/69633/files/texto_completo.pdf Preprint 81417 http://zaguan.unizar.es/record/69633/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:69633 articulos driver 2020-12-17-14:04:55 ARTICLE