or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective holomorphic function whose...
4 KB (557 words) - 04:57, 13 September 2023
(U_{1}\cap U_{2})\to \psi (U_{1}\cap U_{2})} is a biholomorphism. Notice that since every biholomorphism is a diffeomorphism, and C n {\displaystyle \mathbb...
26 KB (3,677 words) - 14:31, 7 September 2023
holomorphic. At this time, ϕ {\displaystyle \phi } is called a U, V biholomorphism also, we say that U and V are biholomorphically equivalent or that they...
124 KB (17,658 words) - 20:14, 19 August 2024
a biholomorphisms is locally in Γ, then it too is in Γ. The pseudogroup is said to be transitive if, given z and w in C, there is a biholomorphism f in...
45 KB (6,967 words) - 22:19, 8 June 2024
compact Hermitian symmetric spaces: K is the isometry group, and G is the biholomorphism group of M. Over the real numbers, a real flag manifold is also called...
17 KB (2,475 words) - 19:58, 10 January 2024
[1:x_{1}:\dots :x_{n}]} of the projective space thus defines the required biholomorphism. This model is the equivalent of the Poincaré disk model. Unlike the...
12 KB (2,051 words) - 13:59, 10 March 2024
\mathbb {C} } , and assume that f : U → V {\displaystyle f:U\to V} is a biholomorphism. Then f {\displaystyle f} and f − 1 {\displaystyle f^{-1}} have antiderivatives...
10 KB (1,696 words) - 02:59, 19 March 2024
collection of all local Ck diffeomorphisms on Rn form a pseudogroup. All biholomorphisms between open sets in Cn form a pseudogroup. More examples include:...
67 KB (9,495 words) - 02:22, 11 July 2024
bounded symmetric domain if for every x in Ω, there is an involutive biholomorphism σx of Ω for which x is an isolated fixed point. The Harish-Chandra embedding...
52 KB (7,418 words) - 20:57, 10 January 2024
anti-biholomorphic if they are homotopic to each other; the biholomorphism (or anti-biholomorphism) is precisely the harmonic map produced as the limit of...
39 KB (5,239 words) - 06:01, 15 June 2024