Invariant complex structures on 6-nilmanifolds: classification, Fr\"olicher spectral sequence and special Hermitian metrics
Differential Geometry
2014-10-13 v5 Rings and Algebras
Abstract
We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Fr\"olicher 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.
Keywords
Cite
@article{arxiv.1111.5873,
title = {Invariant complex structures on 6-nilmanifolds: classification, Fr\"olicher spectral sequence and special Hermitian metrics},
author = {Manuel Ceballos and Antonio Otal and Luis Ugarte and Raquel Villacampa},
journal= {arXiv preprint arXiv:1111.5873},
year = {2014}
}
Comments
30 pages; the title has changed and the presentation has been improved, to appear in J. Geom. Anal