在赫尔维茨度规上

IF 0.4 4区数学 Q4 MATHEMATICS

Kodai Mathematical Journal Pub Date : 2021-03-01 DOI:10.2996/KMJ44108

Amar Deep Sarkar, Kaushal Verma

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引用次数: 0

摘要

最近Minda通过考虑一个变分问题定义了Hurwitz度规，这个变分问题涉及到圆盘上全局内射的全纯映射。本文在$C^2$-光滑平面域上得到了该度规的尖锐边界估计，并证明了它与Caratheodory和Kobayashi度规在这类域上是一致可比较的。此外，还给出了该度规的广义曲率的估计。

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 the Hurwitz metric

The Hurwitz metric was recently defined by Minda by considering a variational problem that involves holomorphic maps from the disc that are globally injective at the origin. In this note, sharp boundary estimates for this metric are obtained on $C^2$-smooth planar domains and as a consequence, it is shown that it is uniformly comparable with the Caratheodory and Kobayashi metrics on such domains. In addition, estimates for the generalized curvatures of this metric are also given.

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来源期刊

Kodai Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.