%0 Journal Article
%T On an alternate proof of Hamilton's matrix Harnack inequality for the Ricci flow
%A Bennett Chow
%J Mathematics
%D 2001
%I arXiv
%X Based on a suggestion of Richard Hamilton, we give an alternate proof of his matrix Harnack inequality for solutions of the Ricci flow with positive curvature operator. This Harnack inequality says that a certain endomorphism, consisting of an expression in the curvature and its first two covariant derivatives, of the bundle of 2-forms Whitney sum 1-forms is nonnegative. The idea is to consider the 2-form which minimizes the associated quadratic form to obtain a symmetric 2-tensor. A long but straightforward computation implies this 2-tensor is a subsolution to heat-type equation. A standard application of the maximum principle implies the result.
%U http://arxiv.org/abs/math/0110261v1