On cohomological decomposability of almost–Kähler structures
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- by Daniele Angella, Adriano Tomassini and Weiyi Zhang PDF
- Proc. Amer. Math. Soc. 142 (2014), 3615-3630 Request permission
Abstract:
We study the $J$-invariant and $J$-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold $M$ endowed with an almost-Kähler structure $\left (J, \omega , g\right )$. In particular, almost-Kähler manifolds satisfying a Lefschetz type property and solvmanifolds endowed with left-invariant almost-complex structures are investigated.References
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Additional Information
- Daniele Angella
- Affiliation: Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy
- Email: angella@mail.dm.unipi.it
- Adriano Tomassini
- Affiliation: Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Scienze 53/A, 43124 Parma, Italy
- MR Author ID: 362161
- Email: adriano.tomassini@unipr.it
- Weiyi Zhang
- Affiliation: Department of Mathematics, 1825 East Hall, University of Michigan, Ann Arbor, Michigan 48109
- Email: wyzhang@umich.edu
- Received by editor(s): April 18, 2012
- Received by editor(s) in revised form: September 14, 2012, and October 25, 2012
- Published electronically: July 10, 2014
- Additional Notes: The first and second authors were partially supported by GNSAGA of INdAM
- Communicated by: Franc Forstneric
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3615-3630
- MSC (2010): Primary 53C55, 53C25, 32G05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12049-1
- MathSciNet review: 3238437