Deformation and rigidity results for the 2k-Ricci tensor and the 2k-Gauss-Bonnet curvature

Tiago Caúla, Levi Lopes de Lima, Newton Luis Santos

We present several deformation and rigidity results within the classes of closed Riemannian manifolds which either are $2k$-Einstein (in the sense that their $2k$-Ricci tensor is c…