We use Bott–Chern cohomology to measure the non-Kählerianity of 6-dimensional nilmanifolds endowed with the invariant complex structures in Ceballos et al.’s (J Geom Anal, 2014. doi:10.1007/s12220-014-9548-4) classification. We investigate the existence of pluriclosed metric in connection with such a classification.
Degree of non-Kählerianity for 6-dimensional nilmanifolds / Angella, Daniele; Franzini, Maria Giovanna; Rossi, Federico Alberto. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 148:(2015), pp. 177-211. [10.1007/s00229-015-0734-x]
Degree of non-Kählerianity for 6-dimensional nilmanifolds
ANGELLA, DANIELE;
2015
Abstract
We use Bott–Chern cohomology to measure the non-Kählerianity of 6-dimensional nilmanifolds endowed with the invariant complex structures in Ceballos et al.’s (J Geom Anal, 2014. doi:10.1007/s12220-014-9548-4) classification. We investigate the existence of pluriclosed metric in connection with such a classification.
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