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...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/44785 |
| Acceso en línea: | http://hdl.handle.net/11441/44785 https://doi.org/10.1007/s12220-014-9548-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Complex structure Nilmanifold Holomorphic deformation Frölicher spectral sequence Hermitian metric |
| 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. |
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