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| Strongly Gauduchon Spaces |
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Citation： |
Wei XIA,Lingxu MENG.Strongly Gauduchon Spaces[J].Chinese Annals of Mathematics B,2018,39(6):989~1000 |
| Page view： 633
Net amount： 484 |
Authors： |
Wei XIA; Lingxu MENG |
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| Abstract： |
The authors define strongly Gauduchon spaces and the class
$\mathscr{SG}$, which are generalization of strongly Gauduchon
manifolds in complex spaces. Comparing with the case of K\"ahlerian,
the strongly Gauduchon space and the class $\mathscr{SG}$ are
similar to the K\"ahler space and the Fujiki class $\mathscr{C}$
respectively. Some properties about these complex spaces are
obtained. Moreover, the relations between the strongly Gauduchon
spaces and the class $\mathscr{SG}$ are studied. |
Keywords： |
Strongly Gauduchon metric, Strongly Gauduchon space, Class $mathscr{SG}$,Topologically essential map |
Classification： |
32C15, 32C10, 53C55 |
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