A family of complex nilmanifolds with infinitely many real homotopy types
Latorre Larrodé, Adela ; Ugarte Vilumbrales, Luis (Universidad de Zaragoza) ; Villacampa Gutiérrez, Raquel
Resumen: We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga , with a ¿ [0, 8), of real dimension eight with (strongly non-nilpotent) complex structures. By restricting a to take rational values, we arrive at the existence of in nitely many real homotopy types of 8-dimensional nilmanifolds admitting a complex structure. Moreover, balanced Hermitian metrics and generalized Gauduchon metrics on such nilmanifolds are constructed.
Idioma: Inglés
DOI: 10.1515/coma-2018-0004
Año: 2018
Publicado en: Complex Manifolds 5 (2018), 89-102
ISSN: 2300-7443
Factor impacto SCIMAGO: 0.643 - Geometry and Topology (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P
Tipo y forma: Article (Published version)
Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
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Idioma: Inglés
DOI: 10.1515/coma-2018-0004
Año: 2018
Publicado en: Complex Manifolds 5 (2018), 89-102
ISSN: 2300-7443
Factor impacto SCIMAGO: 0.643 - Geometry and Topology (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P
Tipo y forma: Article (Published version)
Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2020-12-17-14:04:52)
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Record created 2018-06-06, last modified 2020-12-17