In this paper we relate the cohomology of J-invariant forms to the Dolbeault cohomology of an almost complex manifold. We find necessary and sufficient condition for the inclusion of the former into the latter to be true up to isomorphism. We also extend some results obtained by J. Cirici and S. O. Wilson about the computation of the left-invariant cohomology of nilmanifolds to the setting of solvmanifolds. Several examples are given.
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds / Sillari, L.; Tomassini, A.. - In: COMPLEX ANALYSIS AND OPERATOR THEORY. - ISSN 1661-8254. - 15:7(2021). [10.1007/s11785-021-01156-w]
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds
Sillari L.;Tomassini A.
2021-01-01
Abstract
In this paper we relate the cohomology of J-invariant forms to the Dolbeault cohomology of an almost complex manifold. We find necessary and sufficient condition for the inclusion of the former into the latter to be true up to isomorphism. We also extend some results obtained by J. Cirici and S. O. Wilson about the computation of the left-invariant cohomology of nilmanifolds to the setting of solvmanifolds. Several examples are given.File in questo prodotto:
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