On the study of one flow for ASD connection

Zheng Yu

doi:10.1142/S0219199707002538

On the study of one flow for ASD connection

Zheng Yu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

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摘要

In this paper one flow for anti-self-dual (ASD) connection in Ω²⁺ (AdP) on the principal bundle P over 4 dimensional compact Riemannian manifold (M, g) was studied. The local existence and the analysis of the blowing up phenomenon, including the local small energy regularity for this flow, are given.

源语言	英语
页（从-至）	545-569
页数	25
期刊	Communications in Contemporary Mathematics
卷	9
期	4
DOI	https://doi.org/10.1142/S0219199707002538
出版状态	已出版 - 8月 2007

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title = "On the study of one flow for ASD connection",

abstract = "In this paper one flow for anti-self-dual (ASD) connection in Ω2+ (AdP) on the principal bundle P over 4 dimensional compact Riemannian manifold (M, g) was studied. The local existence and the analysis of the blowing up phenomenon, including the local small energy regularity for this flow, are given.",

keywords = "ASD connection, Bochner-Weitzenb{\"o}ck formula, Continuation method, Moser iteration, Ricci formula, Small energy regularity",

author = "Zheng Yu",

year = "2007",

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AB - In this paper one flow for anti-self-dual (ASD) connection in Ω2+ (AdP) on the principal bundle P over 4 dimensional compact Riemannian manifold (M, g) was studied. The local existence and the analysis of the blowing up phenomenon, including the local small energy regularity for this flow, are given.

KW - ASD connection

KW - Bochner-Weitzenböck formula

KW - Continuation method

KW - Moser iteration

KW - Ricci formula

KW - Small energy regularity

UR - https://www.scopus.com/pages/publications/34547949355

U2 - 10.1142/S0219199707002538

DO - 10.1142/S0219199707002538

M3 - 文章

AN - SCOPUS:34547949355

SN - 0219-1997

VL - 9

SP - 545

EP - 569

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 4

ER -

On the study of one flow for ASD connection

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