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In mathematics, dianalytic manifolds are possibly non-orientable generalizations of complex analytic manifolds. A dianalytic structure on a manifold is given by an atlas of charts such that the transition maps are either complex analytic maps or complex conjugates of complex analytic maps. Every dianalytic manifold is given by the quotient of an analytic manifold (possibly non-connected) by a fixed-point-free involution changing the complex structure to its complex conjugate structure. Dianalytic manifolds were introduced by Klein (), and dianalytic manifolds of 1 complex dimension are sometimes called Klein surfaces.

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  • Dianalytic manifold
  • Dianalytic流形
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  • In mathematics, dianalytic manifolds are possibly non-orientable generalizations of complex analytic manifolds. A dianalytic structure on a manifold is given by an atlas of charts such that the transition maps are either complex analytic maps or complex conjugates of complex analytic maps. Every dianalytic manifold is given by the quotient of an analytic manifold (possibly non-connected) by a fixed-point-free involution changing the complex structure to its complex conjugate structure. Dianalytic manifolds were introduced by Klein (), and dianalytic manifolds of 1 complex dimension are sometimes called Klein surfaces.
  • 數學上,dianalytic流形是的推廣,有可能是不可定向的。流形的dianalytic結構由所組成的圖冊給出,而圖卡間的轉移映射,可以是,或複解析映射的複共軛。dianalytic流形是從(可能不連通的)複解析流形用無固定點的對合取的商,這個對合將複結構轉為複共軛結構。dianalytic流形是 ()引入,一維的dianalytic流形有時稱為。
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  • In mathematics, dianalytic manifolds are possibly non-orientable generalizations of complex analytic manifolds. A dianalytic structure on a manifold is given by an atlas of charts such that the transition maps are either complex analytic maps or complex conjugates of complex analytic maps. Every dianalytic manifold is given by the quotient of an analytic manifold (possibly non-connected) by a fixed-point-free involution changing the complex structure to its complex conjugate structure. Dianalytic manifolds were introduced by Klein (), and dianalytic manifolds of 1 complex dimension are sometimes called Klein surfaces.
  • 數學上,dianalytic流形是的推廣,有可能是不可定向的。流形的dianalytic結構由所組成的圖冊給出,而圖卡間的轉移映射,可以是,或複解析映射的複共軛。dianalytic流形是從(可能不連通的)複解析流形用無固定點的對合取的商,這個對合將複結構轉為複共軛結構。dianalytic流形是 ()引入,一維的dianalytic流形有時稱為。
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