Cohomological decomposition of complex nilmanifolds
DOI:
https://doi.org/10.12775/TMNA.2015.011Keywords
Cohomology, complex structure, nilmanifoldAbstract
We study \emph{pureness} and \emph{fullness} of invariant complex structures on nilmanifolds. We prove that in dimension six, apart from the complex torus, there exist only two non-isomorphic complex structures satisfying both properties, which live on the real nilmanifold underlying the Iwasawa manifold. We also show that the product of two almost complex manifolds which are pure and full is not necessarily full.Downloads
Published
2015-03-01
How to Cite
1.
LATORRE, Adela and UGARTE, Luis. Cohomological decomposition of complex nilmanifolds. Topological Methods in Nonlinear Analysis. Online. 1 March 2015. Vol. 45, no. 1, pp. 215 - 232. [Accessed 6 November 2024]. DOI 10.12775/TMNA.2015.011.
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 1