2 problems

Higher-order vanishing conjecture. The component of the Einstein equation to order $4$ on $\Gamma(\operatorname{Sym}^{2,+}TM)$ should admit an analogue of the order-three identity,…

Let $(M,g)$ be a complete Riemannian manifold with non-negative sectional curvature, and suppose that there is a point $p\in M$ whose two-planes have positive sectional curvature.…