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q-PSEUDOCONVEX DOMAIN IN γ-COMPLETE MANIFOLD

q-PSEUDOCONVEX DOMAIN IN γ-COMPLETE MANIFOLD
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摘要 In this article we always assume r+q≤n, otherwise the result is trivial. Now we introduce some definitions and notations.Definition 1. Suppose D is a connected open subset in an n-dimensional complex manifold with C^2-boundary. We say function φ is a defining function of if there exists an open neighborhood U of x such that φ: U→R and D ∩ U={y∈M|φ(y)【0},
出处 《Chinese Science Bulletin》 SCIE EI CAS 1990年第5期366-370,共5页
基金 Project supported by the National Natural Science Foundation of China
关键词 r-complete MANIFOLD q-pseudoconvex DOMAIN Levi form. r-complete manifold, q-pseudoconvex domain, Levi form.
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