On deformations of compact balanced manifolds

Saracco, Alberto; Tomassini, Adriano

doi:10.1090/S0002-9939-2010-10559-2

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.

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