English

A note on small deformations of balanced manifolds

Differential Geometry 2012-03-15 v2

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.

Keywords

Cite

@article{arxiv.1105.0026,
  title  = {A note on small deformations of balanced manifolds},
  author = {Jixiang Fu and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:1105.0026},
  year   = {2012}
}

Comments

A revised version. The title has been changed

R2 v1 2026-06-21T18:00:40.666Z