TL;DR
This paper introduces strongly Gauduchon spaces, generalizing strongly Gauduchon manifolds, and explores their properties and relation to Kahler and Fujiki class C spaces.
Contribution
It defines strongly Gauduchon spaces and the class SG, extending the concept from manifolds to complex spaces, and analyzes their properties and relationships.
Findings
Strongly Gauduchon spaces generalize strongly Gauduchon manifolds.
The class SG is analogous to Fujiki class C.
Properties and relations of these spaces are established.
Abstract
We define strongly Gauduchon spaces and the class SG which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kahlerian, the strongly Gauduchon space and the class SG are similar to the Kahler space and the Fujiki class C respectively. Some properties about these complex spaces are obtained, and the relations between the strongly Gauduchon spaces and the class SG are studied.
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