On the higher order Kobayashi pseudometric

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-10-11 DOI:10.1080/17476933.2023.2260997

Seok Ban, Florian Bertrand, Amir Jaber Chehayeb, Adam Salha, Walid Tabbara

引用次数: 0

Abstract

ABSTRACTWe study the higher order Kobayashi pseudometric introduced by Yu. We first obtain estimates of this pseudometric in a special pseudoconvex domain in C3. We then study the structure of the higher order extremal discs and their connection with the standard extremal discs for the Kobayashi metric.AMS SUBJECT CLASSIFICATION: 32F45 AcknowledgmentsThis work was done in the framework of the Summer Research Camp in Mathematics designed by the Department of Mathematics at the American University of Beirut (AUB) and that benefitted from a generous support from the Center for Advanced Mathematical Sciences at AUB.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingResearch of the second author was supported by the Center for Advanced Mathematical Sciences.

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在高阶Kobayashi伪度量上

摘要研究了Yu引入的高阶Kobayashi伪度量。我们首先在C3中的一个特殊伪凸域上得到了这个伪度量的估计。然后我们研究了小林度规的高阶极值盘的结构及其与标准极值盘的联系。本工作是在贝鲁特美国大学数学系设计的数学暑期研究营框架内完成的，并得到了贝鲁特美国大学高等数学科学中心的慷慨支持。披露声明作者未报告潜在的利益冲突。第二作者的研究得到了高等数学科学中心的支持。

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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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.