The Levi problem on strongly pseudoconvex G-bundles
نویسندگان
چکیده
منابع مشابه
The Levi Problem on Strongly Pseudoconvex G-bundles
Let G be a unimodular Lie group, X a compact manifold with boundary, and M the total space of a principal bundle G → M → X so that M is also a strongly pseudoconvex complex manifold. In this work, we show that if G acts by holomorphic transformations in M , then the space of square-integrable holomorphic functions on M is infinite G-dimensional. We also establish the following: Let z be a point...
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Is a complex space X which is the union of an increasing sequence X1 ⊂ X2 ⊂ X3 ⊂ · · · of open Stein subspaces itself a Stein space ? From the begining this question has held great interest in Stein theory. The special case when {Xj}j≥1 is a sequence of Stein domains in I C n had been proved long time ago by Behnke and Stein [2]. In 1956, Stein [13] answered positively the question under the ad...
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2009
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-009-9170-z