Complex Balanced Spaces

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.

15 pages. arXiv admin note: text overlap with arXiv:1610.07155