Weitzenböck identity

The Weitzenböck identity is a mathematical identity in the context of Riemannian geometry, particularly involving the Laplace-Beltrami operator. Named after the mathematician Roland Weitzenböck, it relates the curvature of a Riemannian manifold to certain differential operators. In general terms, the Weitzenböck identity can express a relationship involving the Laplacian of a differential form and the curvature of the manifold.