Strongly Gauduchon Spaces

Abstract

The authors define strongly Gauduchon spaces and the class [inline-graphic not available: see fulltext], which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kählerian, the strongly Gauduchon space and the class [inline-graphic not available: see fulltext] are similar to the Kähler space and the Fujiki class [inline-graphic not available: see fulltext] respectively. Some properties about these complex spaces are obtained. Moreover, the relations between the strongly Gauduchon spaces and the class [inline-graphic not available: see fulltext] are studied.

Keywords

Strongly Gauduchon metric / Strongly Gauduchon space / Class [inline-graphic not available: see fulltext] / Topologically essential map

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