Title Invariant Complex Structures on 6-Nilmanifolds: Classification, Frolicher Spectral Sequence and Special Hermitian Metrics
Authors CEBALLOS GONZÁLEZ, MANUEL, Otal, A. , Ugarte, L. , Villacampa, R.
External publication Si
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 0.87
SJR Impact 1.647
Publication date 01/01/2016
ISI 000378003400013
DOI 10.1007/s12220-014-9548-4
Abstract We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behavior of the associated Frolicher 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 Complex structure; Nilmanifold; Holomorphic deformation; Frolicher spectral sequence; Hermitian metric
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