Showing math.DGShow all
3 papers · 1 filter
math.DG2025
Pinched self-dual Weyl curvature on Einstein four-manifolds
Inyoung Kim
We show that a compact oriented riemannian four-manifold with harmonic and pinched self-dual Weyl curvature is anti-self-dual if the type is nonpositive. The main part is to show t…
math.DG2025
Compact four-manifolds with pinched self-dual Weyl curvature
Inyoung Kim
We consider compact oriented four-manifolds with harmonic self-dual Weyl curvature in addition to a pinching condition.
math.DG2023
Almost-Kähler four manifolds with nonnegative biorthogonal curvature
Inyoung Kim
We classify compact almost-Kähler four manifolds with nonnegative biorthogonal curvature.