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...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universidad Loyola Andalucía |
| Repository: | Brújula |
| OAI Identifier: | oai:repositorio.uloyola.es:20.500.12412/1181 |
| Online Access: | http://hdl.handle.net/20.500.12412/1181 |
| Access Level: | Open access |
| Summary: | 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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