We study OMEGA(n)Spin,Z(p), n = 5, 6, 7, where p is an odd prime and we consider some applications to the existence of Z(p)-invariant metrics of positive scalar curvature on closed spin manifolds of dimensions 5, 6, 7. We show that for actions of "mixed type" the vanishing of the obstruction considered implies Z(p)-invariant positive scalar curvature.
机构:
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, EnglandFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China