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arXiv · 1211.6448

Harnack Estimates for Ricci Flow on a Warped Product

Hung Tran
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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.

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Hung Tran. 2012-11-27. Harnack Estimates for Ricci Flow on a Warped Product. https://doi.org/10.1007/s12220-015-9610-x

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