Aula Tricerri, DIMaI, Firenze
Seminario di Geometria del Dini
Abstract.
The Riemannian curvature tensor can be viewed as an operator on the space of 2-forms, this is the curvature operator (of the first kind), which has been studied extensively. It can also be viewed as an operator on the space of traceless symmetric 2-tensors, this is the curvature operator of the second kind. We will talk about this approach and discuss about a conjecture of Nishikawa. This is a joint work with Matthew Gursky and Hung Tran.