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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	545-569
Number of pages	25
Journal	Communications in Contemporary Mathematics
Volume	9
Issue number	4
DOIs	https://doi.org/10.1142/S0219199707002538
State	Published - Aug 2007

Keywords

ASD connection
Bochner-Weitzenböck formula
Continuation method
Moser iteration
Ricci formula
Small energy regularity

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10.1142/S0219199707002538

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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",

month = aug,

doi = "10.1142/S0219199707002538",

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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

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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

Abstract

Keywords

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