Sibirskii Matematicheskii Zhurnal, 2011, Volume 52 , Number 1 , Pages 177–186
(Mi smj2187)
This article is cited in 2 scientific papers (total in 2 papers)
Finitely valent locally biholomorphic mappings of bounded domains
V. V. Starkov Petrozavodsk State University, Faculty of Mathematics, Petrozavodsk
Abstract:
Considering countably connected domains of the plane, we solve the problem of existence of finitely valent locally biholomorphic mappings of a bounded domain onto a disk. We obtain sufficient conditions for the existence of the corresponding mappings in higher dimensions.
Keywords:
locally biholomorphic mapping, multivalent mapping, complex manifold.
Received: 11.02.2010
Citation:
V. V. Starkov, “Finitely valent locally biholomorphic mappings of bounded domains”, Sibirsk. Mat. Zh. , 52 :1 (2011), 177–186 ; Siberian Math. J. , 52 :1 (2011), 139–146
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