Tags » Comparison Geometry

Upper curvature bounds and CAT(K)

I am currently teaching a class at the University of Chicago on hyperbolic groups, and I have just introduced the concept of -hyperbolic (geodesic) metric spaces. 1,586 more words

Hyperbolic Geometry

285G, Lecture 7: Rescaling of Ricci flows and κ-noncollapsing

We now set aside our discussion of the finite time extinction results for Ricci flow with surgery (Theorem 4 from Lecture 2), and turn instead to the main portion of Perelman’s argument, which is to establish the global existence result for Ricci flow with surgery (Theorem 2 from… 4,860 more words