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Strongly Gauduchon Spaces
Authors:Wei XIA and Lingxu MENG
Institution:1.School of Mathematical Sciences,Fudan University,Shanghai,China;2.Department of Mathematics,North University of China,Taiyuan,China
Abstract:The authors define strongly Gauduchon spaces and the class Open image in new window /></a> , which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kählerian, the strongly Gauduchon space and the class  <a href=Open image in new window /></a>  are similar to the Kähler space and the Fujiki class  <a href=Open image in new window /></a>  respectively. Some properties about these complex spaces are obtained. Moreover, the relations between the strongly Gauduchon spaces and the class  <a href=Open image in new window /></a>  are studied.</td>
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Keywords:Strongly Gauduchon metric  Strongly Gauduchon space  Class $mathscr{SG}$  Topologically essential map
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