riemann domain
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2009 ◽  
Vol 02 (03) ◽  
pp. 503-520
Author(s):  
Masaru Nishihara

Let E be a complex Banach space with a Schauder basis and let G(E; r) be the Grassmann manifold of all r-dimensional complex linear subspaces in E. Let (ω, φ) be a Riemann domain over G(E; r) with ω ≠ G(E; r). Then we show that ω is a domain of existence if and only if ω is pseudoconvex.



1975 ◽  
Vol 48 (2) ◽  
pp. 516
Author(s):  
Dong S. Kim
Keyword(s):  


1973 ◽  
Vol 41 (2) ◽  
pp. 495-495
Author(s):  
Dong S. Kim
Keyword(s):  


1959 ◽  
Vol 14 ◽  
pp. 173-191
Author(s):  
Yoshio Togari

Let ϕ be a holomorphic mapping of an n-dimensional analytic space E into Cn. If ϕ is non-degenerate at every point of E, we call the pair (E, ϕ) a Riemann domain. The notion of a Riemann domain is a generalization of the notion of a concrete Riemann surface. A Riemann domain (E, ϕ) is said to be unramified if ϕ is a local homeomorphism, and to be ramified if otherwise.



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