Evolution of the Weyl Tensor under the Ricci Flow
Differential Geometry
2013-10-02 v7 Analysis of PDEs
Abstract
We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.
Keywords
Cite
@article{arxiv.0910.4761,
title = {Evolution of the Weyl Tensor under the Ricci Flow},
author = {Giovanni Catino and Carlo Mantegazza},
journal= {arXiv preprint arXiv:0910.4761},
year = {2013}
}