A note on small deformations of balanced manifolds

Abstract

In this note we prove that, under a weak condition, small deformations of a compact balanced manifold are also balanced. This condition is satisfied on the twistor space over a compact self-dual four manifold.

A revised version. The title has been changed

References in corpus (1)

• Balanced metrics on non-Kahler Calabi-Yau threefolds

Cited by in corpus (3)

• Algebroids, Heterotic Moduli Spaces and the Strominger System
• A parabolic flow of balanced metrics
• Deformed Aeppli cohomology: canonical deformations and jumping formulas