TL;DR
This paper generalizes the concept of balanced manifolds to reduced complex spaces, exploring properties and relationships between balanced spaces and class B, and comparing them to Kahlerian spaces.
Contribution
It introduces the class B and balanced spaces for reduced complex spaces, extending the theory beyond Kahler manifolds and analyzing their properties and interrelations.
Findings
Class B is similar to Fujiki class C.
Balanced spaces are analogous to Kahler spaces.
Properties and relations between these spaces are established.
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.
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