Harnack Estimates for Ricci Flow on a Warped Product

Hung Tran

doi:10.1007/s12220-015-9610-x

paper

Harnack Estimates for Ricci Flow on a Warped Product

arXiv:1211.6448 · doi:10.1007/s12220-015-9610-x

Abstract

In this paper, we study the Ricci flow on closed manifolds equipped with warped product metric $(N \times F, g_{N} + f^{2} g_{F})$ with $(F, g_{F})$ Ricci flat. Using the framework of monotone formulas, we derive several estimates for the adapted heat conjugate fundamental solution which include an analog of G. Perelman's differential Harnack inequality.

arXiv comment20 pages, comments welcomed