Backwards uniqueness of the Ricci flow

Backwards uniqueness of the Ricci flow
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DOI:
10.1093/imrn/rnq022
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发表时间:
2009-06
期刊:
arXiv: Differential Geometry
影响因子:
--
通讯作者:
Brett L. Kotschwar
Brett L. Kotschwar
中科院分区:
其他
文献类型:
--
作者:
Brett L. Kotschwar

文献摘要

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本文证明了Ricci流解的唯一延拓定理或“向后唯一性”定理。一个特殊的结果是,溶液的等长群不能在溶液的生命周期内展开。
In this paper, we prove a unique continuation or ``backwards-uniqueness'' theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.