Calculus of Variations and Geometric Measure Theory

C. Mantegazza - S. Mongodi - M. Rimoldi

The Cotton Tensor and the Ricci Flow

created by root on 22 Mar 2012
modified on 24 Dec 2017


Published Paper

Inserted: 22 mar 2012
Last Updated: 24 dec 2017

Journal: Geometric Flows
Volume: 2
Pages: 49-71
Year: 2017


We compute the evolution equation of the Cotton tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case and we discuss some applications.