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

Abstract

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 introduce some applications of this curvature identity.

17 pages

References in corpus (3)

• Universal curvature identities II
• An Introduction to Harmonic Manifolds and the Lichnerowicz Conjecture
• Universal curvature identities and Euler Lagrange Formulas for Kaehler manifolds