伪凸性下黎曼曲面上bergman度量的变化

Complex Variables, Theory and Application: An International Journal Pub Date : 2004-06-10 DOI:10.1080/02781070412331272523

Sachiko Hamano, Hiroshi Yamaguchi †

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引用次数: 1

摘要

我们研究了在圆盘B中带有参数t的移动黎曼曲面R(t)上以中心ζ(t)为中心，半径为λ >0的Bergman盘δ λ (t)的变化，并证明，如果总空间是一个严格的伪凸域，那么，对于足够小的λ >0，当ζ(t)在B上全纯时，该域也是伪凸域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Note on variation of bergman metrics on riemann surfaces under pseudoconvexity

We study the variation of the Bergman disk δϵ(t) with center ζ(t) and radius ϵ>0 on the moving Riemann surface R(t) with parameter t in a disk B, and show that, if the total space is a strictly pseudoconvex domain, then, for sufficiently small ϵ > 0, the domain is also pseudoconvex in case ζ(t) is holomorphic on B.

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Complex Variables, Theory and Application: An International Journal

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