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arXiv · 1210.0406

Degree of non-Kählerianity for 6-dimensional nilmanifolds

Daniele Angella·Maria Giovanna Franzini·Federico Alberto Rossi
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Abstract

We use Bott-Chern cohomology to measure the non-Kählerianity of 6-dimensional nilmanifolds endowed with the invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R. Villacampa's classification, [Invariant Complex Structures on 6-Nilmanifolds: Classification, Frölicher Spectral Sequence and Special Hermitian Metrics, J. Geom. Anal. (2014)]. We investigate the existence of pluriclosed metric in connection with such a classification.

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Daniele Angella, Maria Giovanna Franzini, Federico Alberto Rossi. 2015-02-07. Degree of non-Kählerianity for 6-dimensional nilmanifolds. https://doi.org/10.1007/s00229-015-0734-x

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