Complex geodesics in convex domains and ℂ-convexity of semitube domains

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-04-01 DOI:10.1515/advgeom-2020-0009

Sylwester Zając, Paweł Zapałowski

引用次数: 0

Abstract

Abstract In this paper the complex geodesics of a convex domain in ℂn are studied. One of the main results provides a certain necessary condition for a holomorphic map to be a complex geodesic for a convex domain in ℂn. The established condition is of geometric nature and it allows to find a formula for every complex geodesic. The ℂ-convexity of semitube domains is also discussed.

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凸域上的复测地线与半管域上的复测地线

摘要本文研究了一个在n上的凸域的复测地线。其中一个主要结果给出了一个全纯映射是一个复测地线的必要条件。所建立的条件是几何性质的，它允许为每一个复杂的测地线找到一个公式。讨论了半管域的凸性。

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

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.