131057 20240205173706.0 doi 10.1142/S0129167X14500578 sideral 87131 ART-2014-87131 eng Latorre, A. Universidad de Zaragoza (orcid)0000-0001-5426-5248 On the bott-chern cohomology and balanced hermitian nilmanifolds 2014 The 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). Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.597 2014 MATHEMATICS 161 / 310 = 0.519 2014 Q3 T2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Ugarte, L. Universidad de Zaragoza (orcid)0000-0003-2207-8653 Villacampa, R. (orcid)0000-0001-6790-7342 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 25, 6 (2014), 1450057 [18 pp.] Int. J. Math. INTERNATIONAL JOURNAL OF MATHEMATICS 0129-167X 411536 http://zaguan.unizar.es/record/131057/files/texto_completo.pdf Postprint 2293811 http://zaguan.unizar.es/record/131057/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131057 articulos driver 2024-02-05-15:01:46 ARTICLE