Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773612 | Differential Geometry and its Applications | 2017 | 11 Pages |
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 âââ¾-Lemma, is characterized in terms of the strongly Gauduchon cone and of the first âââ¾-degree measuring the difference of Aeppli and Bott-Chern cohomologies with respect to the Betti number b1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Daniele Angella, Luis Ugarte,