On small deformations of balanced manifolds
Differential Geometry
2017-12-12 v2
Abstract
We introduce a property of compact complex manifolds under which the existence of balanced metric is stable by small deformations of the complex structure. This property, which is weaker than the -Lemma, is characterized in terms of the strongly Gauduchon cone and of the first -degree measuring the difference of Aeppli and Bott-Chern cohomologies with respect to the Betti number .
Keywords
Cite
@article{arxiv.1502.07581,
title = {On small deformations of balanced manifolds},
author = {Daniele Angella and Luis Ugarte},
journal= {arXiv preprint arXiv:1502.07581},
year = {2017}
}