7 citations · 12 across the 6 of their papers we have counts for
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math.DG2022★ 1 cited
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…
math.DG2022★ 2 cited
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…
math.DG2022★ 1 cited
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…