In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are presented. Further, three explicit for- mulae for counting e...In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are presented. Further, three explicit for- mulae for counting essential maps on S2,N3 andN4 are given. In the same time, some known results can be derived.展开更多
The authors define strongly Gauduchon spaces and the class JG, which aregeneralization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kohlerian, the strongly Gauduchon space and the clas...The authors define strongly Gauduchon spaces and the class JG, which aregeneralization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kohlerian, the strongly Gauduchon space and the class JG are similar to the Kohler space and the Fujiki class L respectively. Some properties about these complex spaces are obtained. Moreover, the relations between the strongly Gauduchon spaces and the class JG are studied.展开更多
文摘In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are presented. Further, three explicit for- mulae for counting essential maps on S2,N3 andN4 are given. In the same time, some known results can be derived.
文摘The authors define strongly Gauduchon spaces and the class JG, which aregeneralization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kohlerian, the strongly Gauduchon space and the class JG are similar to the Kohler space and the Fujiki class L respectively. Some properties about these complex spaces are obtained. Moreover, the relations between the strongly Gauduchon spaces and the class JG are studied.