Anti-self-dual connections and their related flow on 4-manifolds

Min Chun Hong; Zheng Yu

doi:10.1007/s00526-007-0114-9

Anti-self-dual connections and their related flow on 4-manifolds

Min Chun Hong^*
, Zheng Yu

^*Corresponding author for this work

School of Mathematical Sciences

University of Queensland

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

1 Scopus citations

Abstract

In this paper, we establish the existence of the maximal time for a smooth solution to the anti-self-dual (ASD) flow in vector bundles over a 4-dimensional compact Riemannian manifold M and present a different proof of the Taubes' existence theorem on anti-self-dual connections on 4-manifolds.

Original language	English
Pages (from-to)	325-349
Number of pages	25
Journal	Calculus of Variations and Partial Differential Equations
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/s00526-007-0114-9
State	Published - Mar 2008

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title = "Anti-self-dual connections and their related flow on 4-manifolds",

abstract = "In this paper, we establish the existence of the maximal time for a smooth solution to the anti-self-dual (ASD) flow in vector bundles over a 4-dimensional compact Riemannian manifold M and present a different proof of the Taubes' existence theorem on anti-self-dual connections on 4-manifolds.",

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AB - In this paper, we establish the existence of the maximal time for a smooth solution to the anti-self-dual (ASD) flow in vector bundles over a 4-dimensional compact Riemannian manifold M and present a different proof of the Taubes' existence theorem on anti-self-dual connections on 4-manifolds.

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M3 - 文章

AN - SCOPUS:37349129591

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3

ER -

Anti-self-dual connections and their related flow on 4-manifolds

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