Ancient solutions to the Ricci flow in dimension 3
Abstract
It is known from work of Perelman that any finite-time singularity of the Ricci flow on a compact three-manifold is modeled on an ancient -solution. We prove that the every noncompact ancient -solution in dimension 3 is isometric to either the shrinking cylinders (or a quotient thereof), or the Bryant soliton.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.