A curvature identity on a 6-dimensional Riemannian Manifold and its applications

Yunhee Euh, JeongHyeong Park, Kouei Sekigawa

We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. We also intr…