Balanced hermitian geometry on 6-dimensional nilmanifolds

Ugarte, L. (Universidad de Zaragoza) ; Villacampa, R.

Resumen: 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.

Idioma: Inglés

DOI: 10.1515/forum-2012-0072

Año: 2015

Publicado en: FORUM MATHEMATICUM 27, 2 (2015), 1025-1070
ISSN: 0933-7741

Factor impacto JCR: 0.823 (2015)

Categ. JCR: MATHEMATICS, APPLIED rank: 124 / 254 = 0.488 (2015) - Q2 - T2
Categ. JCR: MATHEMATICS rank: 88 / 311 = 0.283 (2015) - Q2 - T1

Factor impacto SCIMAGO: 0.918 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2008-06540-C02-02
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)