On the moduli space of nonnegatively curved metrics on Milnor spheres

الأصل · EN

Let M be a Milnor sphere or, more generally, the total space of a linear S³-bundle over S⁴ with H⁴(M;Q)=0. We show that the moduli space of metrics of nonnegative sectional curvature on M has infinitely many path components. The same holds true for the moduli space of metrics of positive Ricci curvature on M.