000069633 001__ 69633 000069633 005__ 20201217140621.0 000069633 0247_ $$2doi$$a10.4171/RMI/973 000069633 0248_ $$2sideral$$a99257 000069633 037__ $$aART-2017-99257 000069633 041__ $$aeng 000069633 100__ $$aAngella, Daniele 000069633 245__ $$aComplex structures of splitting type 000069633 260__ $$c2017 000069633 5060_ $$aAccess copy available to the general public$$fUnrestricted 000069633 5203_ $$aWe 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. 000069633 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P 000069633 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000069633 590__ $$a1.039$$b2017 000069633 591__ $$aMATHEMATICS$$b61 / 309 = 0.197$$c2017$$dQ1$$eT1 000069633 592__ $$a1.629$$b2017 000069633 593__ $$aMathematics (miscellaneous)$$c2017$$dQ1 000069633 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion 000069633 700__ $$0(orcid)0000-0002-1567-7159$$aOtal, Antonio 000069633 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, Luis$$uUniversidad de Zaragoza 000069633 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa Gutierrez, Raquel 000069633 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000069633 773__ $$g33, 4 (2017), 1309-1350$$pRev. mat. iberoam.$$tREVISTA MATEMATICA IBEROAMERICANA$$x0213-2230 000069633 8564_ $$s652307$$uhttps://zaguan.unizar.es/record/69633/files/texto_completo.pdf$$yPreprint 000069633 8564_ $$s81417$$uhttps://zaguan.unizar.es/record/69633/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint 000069633 909CO $$ooai:zaguan.unizar.es:69633$$particulos$$pdriver 000069633 951__ $$a2020-12-17-14:04:55 000069633 980__ $$aARTICLE