Erratum to "Boundedly Holomorphic Convex Riemann Domain"

Proceedings of the American Mathematical Society ◽

10.2307/2040296 ◽

1975 ◽

Vol 48 (2) ◽

pp. 516

Author(s):

Dong S. Kim

Keyword(s):

Riemann Domain

On Ramified Riemann Domains

Nagoya Mathematical Journal ◽

10.1017/s0027763000005833 ◽

1959 ◽

Vol 14 ◽

pp. 173-191

Author(s):

Yoshio Togari

Keyword(s):

Riemann Surface ◽

Holomorphic Mapping ◽

Analytic Space ◽

Local Homeomorphism ◽

Riemann Domain

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.

Erratum to: ‘‘Boundedly holomorphic convex Riemann domain” (Proc. Amer. Math. Soc. {\bf 41} (1973), 495–497)

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1975-0367285-7 ◽

1975 ◽

Vol 48 (2) ◽

pp. 516

Author(s):

Dong S. Kim

Keyword(s):

Riemann Domain

Boundedly holomorphic convex Riemann domain

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1973-0328120-4 ◽

1973 ◽

Vol 41 (2) ◽

pp. 495-495

Author(s):

Dong S. Kim

Keyword(s):

Riemann Domain

RIEMANN DOMAINS OVER BANACH-GRASSMANN MANIFOLDS

Asian-European Journal of Mathematics ◽

10.1142/s179355710900042x ◽

2009 ◽

Vol 02 (03) ◽

pp. 503-520

Author(s):

Masaru Nishihara

Keyword(s):

Banach Space ◽

Grassmann Manifold ◽

Complex Banach Space ◽

Schauder Basis ◽

Grassmann Manifolds ◽

Linear Subspaces ◽

Riemann Domain ◽

Domain Of Existence ◽

Complex Linear

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.