000131065 001__ 131065 000131065 005__ 20240205173706.0 000131065 0247_ $$2doi$$a10.1515/forum-2012-0072 000131065 0248_ $$2sideral$$a89839 000131065 037__ $$aART-2015-89839 000131065 041__ $$aeng 000131065 100__ $$0(orcid)0000-0003-2207-8653$$aUgarte, L.$$uUniversidad de Zaragoza 000131065 245__ $$aBalanced hermitian geometry on 6-dimensional nilmanifolds 000131065 260__ $$c2015 000131065 5060_ $$aAccess copy available to the general public$$fUnrestricted 000131065 5203_ $$aThe invariant balanced Hermitian geometry of nilmanifolds of dimension 6 is described. We prove that the (restricted) holonomy group of the associated Bismut connection reduces to a proper subgroup of SU(3) if and only if the complex structure is abelian. As an application we show that if J is abelian, then any invariant balanced J-Hermitian structure provides solutions of the Strominger system. 000131065 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2008-06540-C02-02$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 000131065 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000131065 590__ $$a0.823$$b2015 000131065 591__ $$aMATHEMATICS, APPLIED$$b124 / 254 = 0.488$$c2015$$dQ2$$eT2 000131065 591__ $$aMATHEMATICS$$b88 / 311 = 0.283$$c2015$$dQ2$$eT1 000131065 592__ $$a0.918$$b2015 000131065 593__ $$aMathematics (miscellaneous)$$c2015$$dQ2 000131065 593__ $$aApplied Mathematics$$c2015$$dQ2 000131065 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000131065 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa, R. 000131065 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000131065 773__ $$g27, 2 (2015), 1025-1070$$pForum math.$$tFORUM MATHEMATICUM$$x0933-7741 000131065 8564_ $$s737065$$uhttps://zaguan.unizar.es/record/131065/files/texto_completo.pdf$$yVersión publicada 000131065 8564_ $$s1377368$$uhttps://zaguan.unizar.es/record/131065/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000131065 909CO $$ooai:zaguan.unizar.es:131065$$particulos$$pdriver 000131065 951__ $$a2024-02-05-15:02:13 000131065 980__ $$aARTICLE