@article{Hamilton1993TheFO,
title={The formations of singularities in the Ricci Flow},
author={Richard S. Hamilton},
journal={Surveys in differential geometry},
year={1993},
volume={2},
pages={7-136}
}

This note presents Yu Li’s “Ricci Flow on Asymptotically Euclidean Manifolds” [17] with enough detail and background to (hopefully) make it accessible to any student familiar with basic knowledge of… Expand

In this note we obtain local derivative estimates of Shi-type for the heat equation coupled to the Ricci flow. As applications, in part combining with Kuang's work, we extend some results of Zhang… Expand

In this paper, we continue to study the generalized Ricci flow. We give a criterion on steady gradient Ricci soliton on complete and noncompact Riemannian manifolds that is Ricci-flat, and then… Expand

In this paper, we continue to study the generalized Ricci flow. We give a criterion on steady gradient Ricci soliton on complete and noncompact Riemannian manifolds that is Ricci-flat, and then… Expand

We introduce a holomorphic sheaf E on a Sasaki manifold and study two new notions of stability for E along the Sasaki-Ricci flow related to the `jumping up' of the number of global holomorphic… Expand

Associated to a closed, oriented surface S is the complex vector space with basis the set of all compact, oriented 3-manifolds which it bounds. Gluing along S defines a Hermitian pairing on this… Expand

In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show that the mass is… Expand