Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons

Abstract

In this paper we prove that any asymptotically cylindrical gradient shrinking Ricci soliton is isometric to a cylinder.

There is a gap in the proofs of Theorem 4.2 and 5.3 due to the lack of Schauder estimates for the weighted laplacian

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• Structure at infinity for shrinking Ricci solitons