数学上,dianalytic流形是复解析流形的推广,有可能是不可定向的。流形的dianalytic结构由图卡所组成的图册给出,而图卡间的转移映射,可以是复解析映射,或复解析映射的复共轭。dianalytic流形是从(可能不连通的)复解析流形用无固定点的对合取的商,这个对合将复结构转为复共轭结构。dianalytic流形是 Klein (1882)引入,一维的dianalytic流形有时称为克莱因曲面。
参考
- Klein, Felix, Ueber Riemann's Theorie der algebraischen Funktionen und ihrer Integrale, Teubner, 1882 (德语)
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