Invariant complex structures on 6-nilmanifolds classification, Frölicher spectral sequence and special Hermitian metrics

We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Frölicher sequence is studied as well as its relation to the existence of strongly Gauduchon metrics. We also show that the strongly Gauduchon property and the...

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Detalles Bibliográficos
Autores: Ceballos González, Manuel, Otal Ortas, Antonio, Ugarte Vilumbrales, Luis, Villacampa Gutiérrez, Raquel
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad Loyola Andalucía
Repositorio:Brújula
OAI Identifier:oai:repositorio.uloyola.es:20.500.12412/1181
Acceso en línea:http://hdl.handle.net/20.500.12412/1181
Access Level:acceso abierto
Descripción
Sumario:We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Frölicher sequence is studied as well as its relation to the existence of strongly Gauduchon metrics. We also show that the strongly Gauduchon property and the balanced property are not closed under holomorphic deformation.