The Special Solutions Of Yang-Mills Equations And Local Well-posednss Under The Hyperbolic Metric

Yang-Mills equation describes the asymmetrical and non-Abelian conservation law gauge field.In this paper,two special forms of the solutions are constructed.The one is the operator type.The other is polynomial form.Then,the local well-posedness of Yang-Mills equation is obtained in the temporal gauge below the Lobachevsky space.