Hamilton's injectivity radius estimate for the Ricci flow

Ben Chow (UC San Diego)

In the study of singularity formation for the Ricci flow in dimensions 3 and 4, sequences of solutions with almost nonnegative curvature arise. Richard Hamilton has proved an injectivity radius estimate under an additional assumption.  In joint work with Dan Knopf and Peng Lu, we show how a modification of Hamilton's techniques yields a new proof of his theorem which removes one of the technical difficulties in attempts to generalize the theorem.


Fall 2001 meeting of the PNGS