Type II ancient solutions to the Ricci flow on surfaces

Type II ancient solutions to the Ricci flow on surfaces
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表面 Ricci 流的 II 型古代解决方案

DOI:
10.4310/cag.2007.v15.n1.a7
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发表时间:
2006
影响因子:
0.7
通讯作者:
Sun
Sun
中科院分区:
数学3区
文献类型:
--
作者:
Sun

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表面 Ricci 流的 II 类(古代)解尚未分类。据推测,罗西瑙解和雪茄是唯一的解,模缩放。本文主要研究非紧曲面上的II型古解的后向极限和空间无穷大处的周长。
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.