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Preprint
Report number arXiv:1210.0406
Title Degree of non-Kählerianity for 6-dimensional nilmanifolds
Author(s) Angella, Daniele (Pisa U.) ; Franzini, Maria Giovanna (Parma U.) ; Rossi, Federico Alberto (Milan Bicocca U. ; CERN ; Sincrotrone Trieste)
Publication 2012
Imprint 2012-10
Number of pages 15
Subject category Mathematical Physics and Mathematics
Abstract We use Bott-Chern cohomology to measure the non-K\'ahlerianity of 6-dimensional nilmanifolds endowed with the left-invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R. Villacampa's classification, [Classification of complex structures on 6-dimensional nilpotent Lie algebras, arXiv:1111.5873v4 [math.DG]]. We investigate the existence of pluriclosed metric in connection with such a classification.
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