Diego Artacho

Stability of Einstein 4-manifolds satisfying a chiral curvature condition

Let $(M,g)$ be a compact oriented Einstein four-manifold with Einstein constant $E$ and let $\widehat{R}^+$ denote the action of the Riemann curvature tensor on self-dual two-forms. We show that if $\widehat{R}^+<0$, then $g$ is strictly linearly stable for the Einstein-Hilbert functional, thus giving a chiral criterio...