We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
@article{bwmeta1.element.doi-10_1515_geofl-2017-0001,
author = {Carlo Mantegazza and Samuele Mongodi and Michele Rimoldi},
title = {The Cotton Tensor and the Ricci Flow},
journal = {Geometric Flows},
volume = {2},
year = {2017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_geofl-2017-0001}
}
Carlo Mantegazza; Samuele Mongodi; Michele Rimoldi. The Cotton Tensor and the Ricci Flow. Geometric Flows, Tome 2 (2017) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_geofl-2017-0001/