On generalized gauduchon nilmanifolds

Latorre Larrodé, Adela (Universidad de Zaragoza) ; Ugarte Vilumbrales, Luis (Universidad de Zaragoza) ; Villacampa Gutierrez, Raquel

Resumen: We construct invariant generalized Gauduchon metrics on the product of two complex nilmanifolds that do not necessarily admit this kind of metrics. In particular, we prove that the product of a locally conformal Kähler nilmanifold and a balanced nilmanifold admits a generalized Gauduchon metric. In complex dimension 4, generalized Gauduchon nilmanifolds with (the highest possible) nilpotency step are given, as well as 3-step and 4-step examples for which the center of their underlying Lie algebras does not contain any non-trivial J-invariant ideal. These examples show strong differences between the SKT and the generalized Gauduchon geometries of nilmanifolds.

Idioma: Inglés

DOI: 10.1016/j.difgeo.2017.03.016

Año: 2017

Publicado en: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 54, Part A (2017), 151-164 [15 p.]
ISSN: 0926-2245

Factor impacto JCR: 0.76 (2017)

Categ. JCR: MATHEMATICS rank: 131 / 309 = 0.424 (2017) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 170 / 252 = 0.675 (2017) - Q3 - T3

Factor impacto SCIMAGO: 0.791 - Analysis (Q2) - Geometry and Topology (Q2) - Computational Theory and Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P

Tipo y forma: Article (PostPrint)

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