Type II ancient solutions to the Ricci flow on surfaces

Details Type II ancient solutions to the Ricci flow on surfaces Type II ancient solutions to the Ricci flow on surfaces

2006-11-10

arxiv.org/abs/math/0611301v1

Mathematics

Differential Geometry

20 pages. To appear in Comm. Anal. Geom. (2007)

Scientific paper

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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