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arxiv: 1210.0406 · v3 · pith:BAZKOXX4new · submitted 2012-10-01 · 🧮 math.DG

Degree of non-K\"ahlerianity for 6-dimensional nilmanifolds

Daniele Angella , Maria Giovanna Franzini , Federico Alberto Rossi This is my paper
classification 🧮 math.DG
keywords classificationnilmanifoldsahlerianitycomplexdimensionalinvariantnon-kstructures
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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.

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