Strongly Gauduchon spaces

Abstract

We define strongly Gauduchon spaces and the class S G which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kählerian, the strongly Gauduchon space and the class S G are similar to the Kähler 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 S G are studied.