131065 20240205173706.0 doi 10.1515/forum-2012-0072 sideral 89839 ART-2015-89839 eng Ugarte, L. Universidad de Zaragoza (orcid)0000-0003-2207-8653 Balanced hermitian geometry on 6-dimensional nilmanifolds 2015 The 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/MICINN/MTM2008-06540-C02-02 info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.823 2015 MATHEMATICS, APPLIED 124 / 254 = 0.488 2015 Q2 T2 MATHEMATICS 88 / 311 = 0.283 2015 Q2 T1 0.918 2015 Mathematics (miscellaneous) 2015 Q2 Applied Mathematics 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Villacampa, R. (orcid)0000-0001-6790-7342 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 27, 2 (2015), 1025-1070 Forum math. FORUM MATHEMATICUM 0933-7741 737065 http://zaguan.unizar.es/record/131065/files/texto_completo.pdf Versión publicada 1377368 http://zaguan.unizar.es/record/131065/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:131065 articulos driver 2024-02-05-15:02:13 ARTICLE