On weakly stable Yang-Mills fields over positively pinched manifolds and certain symmetric spaces

In this paper it is proved that for w>5 there exists a constant δ(n) with l/4<<5(n) R is for each 1^C E , where F 1 is the curvature form of the connection 7. Note that F v is a smooth section of Ω\g E ).The Yang-Mills connection 1^C E is a critical point of y<3ί.A Yang-Mills connection 7 is called weakly stable if, for each ΨEΞCS with 7=7°, M is called Yang-Mills unstable (cf.[K-O-T]) if, for every vector bundle (E, G) over M y any weakly stable Yang-Mills connection on E is always fiat.First Simons proved that the Euclidean w-sphere S n for n^5 is Yang-Mills unstable ([B-L]).Ever since several persons have investigated the instability of Yang-Mills fields over various Riemannian manifolds convex hypersurfaces, submani-