Communications in Analysis and Geometry

Volume 15 (2007)

Number 1

Type II ancient solutions to the Ricci flow on surfaces

Pages: 195 – 216

DOI: https://dx.doi.org/10.4310/CAG.2007.v15.n1.a7

Author

Sun-Chin Chu

Abstract

Type II (ancient) solutions to the Ricci flow on surfaces are not yet classified. It is conjectured that the Rosenau solution and the cigar are the only solutions, modulo scaling. In this paper, we mainly study the backward limit and the circumference at spatial infinity of Type II ancient solutions on noncompact surfaces.

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Published 1 January 2007