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Degree of non-Kählerianity for 6-dimensional nilmanifolds
We use Bott-Chern cohomology to measure the non-K\'ahlerianity of 6-dimensional nilmanifolds endowed with the left-invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R. Villacampa's classification, [Classification of complex structures on 6-dimensional nilpotent Lie algeb...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
2012
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/2002567 |
| Sumario: | We use Bott-Chern cohomology to measure the non-K\'ahlerianity of 6-dimensional nilmanifolds endowed with the left-invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R. Villacampa's classification, [Classification of complex structures on 6-dimensional nilpotent Lie algebras, arXiv:1111.5873v4 [math.DG]]. We investigate the existence of pluriclosed metric in connection with such a classification. |
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