论有限下阶单态极小曲面的偏差

Pub Date : 2024-03-26 DOI:10.1007/s40315-024-00522-x

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引用次数: 0

摘要

摘要本文主要研究贝肯鲍尔（Beckenbach）的全等极小曲面理论的发展。我们用 Valiron 的缺陷 \(\Delta ({\textbf {0}}, S_u)\) 来估计有限低阶的并形极小曲面的 Petrenko 偏差之和。我们还举了一个例子来说明这个估计是尖锐的。

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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On Deviations of Meromorphic Minimal Surfaces of Finite Lower Order

Abstract

This paper is devoted to the development of Beckenbach’s theory of meromorphic minimal surfaces. We get an estimate of the sum of Petrenko’s deviations of the meromorphic minimal surface of finite lower order in term of Valiron’s defect \(\Delta ({\textbf {0}}, S_u)\) . We also give an example showing that the estimate is sharp.

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