Cohomological decomposition of complex nilmanifolds
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https://doi.org/10.12775/TMNA.2015.011Słowa kluczowe
Cohomology, complex structure, nilmanifoldAbstrakt
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.Pobrania
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2015-03-01
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LATORRE, Adela & UGARTE, Luis. Cohomological decomposition of complex nilmanifolds. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2015, T. 45, nr 1, s. 215–232. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2015.011.
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