On deformations of compact balanced manifolds
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- by Alberto Saracco and Adriano Tomassini PDF
- Proc. Amer. Math. Soc. 139 (2011), 641-653 Request permission
Abstract:
We study suitable deformations of the complex structure on a compact balanced manifold $(M,J,g,\omega )$, naturally associated with cohomology classes in $H^2(M,\mathbb R)$. We construct curves of balanced structures on a compact holomorphically parallelizable $5$-dimensional complex nilmanifold and of half-flat structures on a compact complex $3$-dimensional solvmanifold respectively.References
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Additional Information
- Alberto Saracco
- Affiliation: Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze 53/A, I-43124 Parma, Italy
- Email: alberto.saracco@unipr.it
- Adriano Tomassini
- Affiliation: Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze 53/A, I-43124 Parma, Italy
- MR Author ID: 362161
- Email: adriano.tomassini@unipr.it
- Received by editor(s): March 3, 2010
- Published electronically: September 23, 2010
- Additional Notes: This work was supported by the Project M.I.U.R. “Geometric Properties of Real and Complex Manifolds” and by G.N.S.A.G.A. of I.N.d.A.M
- Communicated by: Franc Forstneric
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 641-653
- MSC (2010): Primary 53C15; Secondary 32G05
- DOI: https://doi.org/10.1090/S0002-9939-2010-10559-2
- MathSciNet review: 2736345