Degree of non-K\"ahlerianity for 6-dimensional nilmanifolds
Differential Geometry
2015-08-11 v3
Abstract
We use Bott-Chern cohomology to measure the non-K\"ahlerianity 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, Fr\"olicher Spectral Sequence and Special Hermitian Metrics, J. Geom. Anal. (2014)]. We investigate the existence of pluriclosed metric in connection with such a classification.
Keywords
Cite
@article{arxiv.1210.0406,
title = {Degree of non-K\"ahlerianity for 6-dimensional nilmanifolds},
author = {Daniele Angella and Maria Giovanna Franzini and Federico Alberto Rossi},
journal= {arXiv preprint arXiv:1210.0406},
year = {2015}
}