Shen Chunli.YANG-MILLS CONNECTION OVER KAHLER SURFACE[J].Chinese Annals of Mathematics B,1989,10(3):403~408
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Authors:
Shen Chunli;
Abstract:
Let $M$ be a compact Kahler surface with positive scalar curvature, P(M,SU(N)) a principal fibre bundle. Then an irreducible Yang-Mills connection V on P must be an antiself-dual connection provided
$$\[{\int_M {\left| \Phi \right|} ^2} < C\]$$
Here $\[\Phi \]$ is the projection of the curvature F of the connection $\[\nabla \]$ on the Kahler form of M,
and $C$ is an a-priori postive constant independent of connections on P.