弱A-调和张量的奇点可去性

数学物理学报 ›› 2017, Vol. 37 ›› Issue (6): 1001-1011.

• 论文 • 下一篇

弱A-调和张量的奇点可去性

佟玉霞^1,2, 郑神州², 程林娜¹

1 华北理工大学理学院河北唐山 063009;
2 北京交通大学理学院北京 100044

收稿日期:2016-12-13 修回日期:2017-05-12 出版日期:2017-12-26 发布日期:2017-12-26
作者简介:佟玉霞,E-mail:tongyuxia@126.com
基金资助:
河北省社会科学基金（HB17YJ094）

Removable Singularities of Weakly A-Harmonic Tensors

Tong Yuxia^1,2, Zheng Shenzhou², Cheng Linna¹

1 College of Science, North China University of Science and Technology, Hebei Tangshan 063009;
2 School of Science, Beijing Jiaotong University, Beijing 100044

Received:2016-12-13 Revised:2017-05-12 Online:2017-12-26 Published:2017-12-26
Supported by:
Supported by the Social Science Foundation of Hebei Province (HB17YJ094)

摘要/Abstract

摘要： 该文研究微分形式的A-调和方程d^*A（x，du）=0，通过Hodge分解建立弱A-调和张量的Caccioppoli不等式，获得了弱A-调和张量的奇点可去性.

关键词: 微分形式, 奇点可去性, Hodge分解, A-调和张量

Abstract: This paper studies the A-harmonic equation d^*A(x,du)=0, and acquires the removable singularities for weakly A-harmonic tensors by means of the Hodge decomposition and Caccioppoli estimation.

Key words: Differential form, Removable singularities, Hodge decomposition, A-Harmonic tensor

中图分类号:

O175.23

佟玉霞, 郑神州, 程林娜. 弱A-调和张量的奇点可去性[J]. 数学物理学报, 2017, 37(6): 1001-1011.

Tong Yuxia, Zheng Shenzhou, Cheng Linna. Removable Singularities of Weakly A-Harmonic Tensors[J]. Acta mathematica scientia,Series A, 2017, 37(6): 1001-1011.

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弱A-调和张量的奇点可去性

Removable Singularities of Weakly A-Harmonic Tensors

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