Invariant Complex Structures on 6-Nilmanifolds: Classification, Frölicher Spectral Sequence and Special Hermitian Metrics

By Manuel Ceballos, A. Otal, L. Ugarte, R. Villacampa. 2011

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We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behavior 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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b031aa3da11061d3544a082182dbe6fab0b51d02