000131057 001__ 131057 000131057 005__ 20240205173706.0 000131057 0247_ $$2doi$$a10.1142/S0129167X14500578 000131057 0248_ $$2sideral$$a87131 000131057 037__ $$aART-2014-87131 000131057 041__ $$aeng 000131057 100__ $$0(orcid)0000-0001-5426-5248$$aLatorre, A.$$uUniversidad de Zaragoza 000131057 245__ $$aOn the bott-chern cohomology and balanced hermitian nilmanifolds 000131057 260__ $$c2014 000131057 5060_ $$aAccess copy available to the general public$$fUnrestricted 000131057 5203_ $$aThe Bott–Chern cohomology of six-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon Hermitian metrics exist. We consider complex invariants introduced by Angella and Tomassini and by Schweitzer, which are related to the -lemma condition and defined in terms of the Bott–Chern cohomology, and show that the vanishing of some of these invariants is not a closed property under holomorphic deformations. In the balanced case, we determine the spaces that parametrize deformations in type IIB supergravity described by Tseng and Yau in terms of the Bott–Chern cohomology group of bidegree (2, 2). 000131057 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 000131057 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000131057 590__ $$a0.597$$b2014 000131057 591__ $$aMATHEMATICS$$b161 / 310 = 0.519$$c2014$$dQ3$$eT2 000131057 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000131057 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, L.$$uUniversidad de Zaragoza 000131057 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa, R. 000131057 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000131057 773__ $$g25, 6 (2014), 1450057 [18 pp.]$$pInt. J. Math.$$tINTERNATIONAL JOURNAL OF MATHEMATICS$$x0129-167X 000131057 8564_ $$s411536$$uhttps://zaguan.unizar.es/record/131057/files/texto_completo.pdf$$yPostprint 000131057 8564_ $$s2293811$$uhttps://zaguan.unizar.es/record/131057/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000131057 909CO $$ooai:zaguan.unizar.es:131057$$particulos$$pdriver 000131057 951__ $$a2024-02-05-15:01:46 000131057 980__ $$aARTICLE