Complex Balanced Spaces
Complex Variables
2021-01-07 v1 Algebraic Geometry
Differential Geometry
Abstract
In this paper, the concept of balanced manifolds is generalized to reduced complex spaces: the class B and balanced spaces. Compared with the case of Kahlerian, the class B is similar to the Fujiki class C and the balanced space is similar to the Kahler space. Some properties about these complex spaces are obtained, and the relations between the balanced spaces and the class B are studied.
Keywords
Cite
@article{arxiv.1810.11318,
title = {Complex Balanced Spaces},
author = {Jixiang Fu and Lingxu Meng and Wei Xia},
journal= {arXiv preprint arXiv:1810.11318},
year = {2021}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:1610.07155