In this paper it is proved that for
n≥5 there exists a constant δ(
n) with 1/4<δ(
n)<1 such that any weakly stable Yang-Mills connection over a simple connected compact Riemannian manifold
M of dimension
n with δ(
n)-pinched sectional curvatures is always flat. The pinching constants are possible to compute by elementary functions. Moreover we give some remarks on stability of Yang-Mills connections over certain symmetric spaces.
抄録全体を表示