Some questions of uniqueness and preservation of structure for the Ricci flow
It is well known that, in the class of complete solutions with bounded curvature, solutions to the Ricci flow are unique. This combined with short-time existence of solutions tells us that many geometric properties are preserved under the flow. However, when these assumptions are relaxed, solutions may not be unique and other methods are needed to study the preservation of structure. In this talk, I will discuss several related problems concerning the preservation of structure along the flow, including the preservation of holonomy and some analysis of the asymptotic behavior of a certain class of Ricci solitons.
Password: “arizona” (all lower case)