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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

Means

J. Geom. Anal.

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

0.87

SJR Impact

1.647

Publication date

01/01/2016

ISI

000378003400013

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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