同轴层的Brylinski beta函数

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2025-07-04 DOI:10.1007/s00013-025-02138-6

Pooja Rani, M. K. Vemuri

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引用次数: 0

摘要

在微分地球。应用程序92：论文编号102078,12页，2024)，定义了在欧几里得空间上紧支持（Schwartz）分布T的Brylinski的结β函数的模拟。本文考虑欧氏空间子流形上由同轴层定义的分布的Brylinski beta函数。证明了它作为一个只有简单极点的亚纯函数在整个复平面上具有解析延拓性，并在空间曲线上的同轴层的情况下，计算了一些关于曲率和扭转的残数。

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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The Brylinski beta function of a coaxial layer

In (Differential Geom. Appl. 92: Paper No. 102078, 12 pp., 2024), an analogue of Brylinski’s knot beta function was defined for a compactly supported (Schwartz) distribution T on Euclidean space. Here we consider the Brylinski beta function of the distribution defined by a coaxial layer on a submanifold of Euclidean space. We prove that it has an analytic continuation to the whole complex plane as a meromorphic function with only simple poles, and in the case of a coaxial layer on a space curve, we compute some of the residues in terms of the curvature and torsion.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.