Toric Einstein 4-manifolds with nonnegative sectional curvature

Abstract

We prove that $T^2$-invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.

23 pages

References in corpus (3)

• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry
• Circle actions and scalar curvature