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Degree of non-K\'ahlerianity for 6-dimensional nilmanifolds
- Source :
- Manuscr. Math. 148 (2015), no. 1-2, 177-211
- Publication Year :
- 2012
-
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.
- Subjects :
- Mathematics - Differential Geometry
57T15, 32Q57, 53C558
Subjects
Details
- Database :
- arXiv
- Journal :
- Manuscr. Math. 148 (2015), no. 1-2, 177-211
- Publication Type :
- Report
- Accession number :
- edsarx.1210.0406
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00229-015-0734-x