$L^p$ harmonic 1-forms on hypersurfaces with finite index

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2022-11-02 DOI:10.1017/S0017089522000313

Xiaoli Chao, B. Shen, Miaomiao Zhang

引用次数: 0

Abstract

Abstract In the present note, we establish a finiteness theorem for $L^p$ harmonic 1-forms on hypersurfaces with finite index, which is an extension of the result of Choi and Seo (J. Geom. Phys. 129 (2018), 125–132).

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有限指数超曲面上的L^p调和1型

摘要在本文中，我们建立了具有有限索引的超曲面上$L^p$调和1-形式的有限性定理，这是Choi和Seo（J.Geom.Phys.129（2018），125–132）结果的推广。

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

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.