2 citations · 5 across the 5 of their papers we have counts for
6 papers
Curvature operators and rational cobordism
Renato G. Bettiol, McFeely Jackson Goodman
We determine linear inequalities on the eigenvalues of curvature operators that imply vanishing of the twisted genus on a closed Riemannian spin manifold, where the twisti…
Extremality and rigidity for scalar curvature in dimension four
Renato G. Bettiol, McFeely Jackson Goodman
Following Gromov, a Riemannian manifold is called area-extremal if any modification that increases scalar curvature must decrease the area of some tangent 2-plane. We prove that la…
The moduli Space of nonnegatively curved metrics on quotients of by involutions
McFeely Jackson Goodman, Jonathan Wermelinger
We show that for an orientable non-spin manifold with fundamental group and universal cover the moduli space of metrics of nonnegative sectional cur…
Moduli spaces of nonnegatively curved metrics on exotic spheres
McFeely Jackson Goodman
We show that the moduli space of nonnegatively curved metrics on each member of a large class of 2-connected 7-manifolds, including each smooth manifold homeomorphic to , has…
Moduli spaces of Ricci positive metrics in dimension five
McFeely Jackson Goodman
We use the invariants of spin Dirac operators to distinguish connected components of moduli spaces of Riemannian metrics with positive Ricci curvature. We then find infinit…
On the moduli spaces of metrics with nonnegative sectional curvature
McFeely Jackson Goodman
The Kreck-Stolz s invariant is used to distinguish connected components of the moduli space of positive scalar curvature metrics. We use a formula of Kreck and Stolz to calculate t…