Uniqueness of solutions of Ricci flow on complete noncompact manifolds

Uniqueness of solutions of Ricci flow on complete noncompact manifolds
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发表时间:
2007-04
期刊:
arXiv: Differential Geometry
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通讯作者:
S. Hsu
S. Hsu
中科院分区:
其他
文献类型:
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作者:
S. Hsu

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利用De Turck方法证明了曲率有界的完全非紧流形上Ricci流解的唯一性。结果证明了曲率有界的完全非紧流形上Ricci调和流解的存在性。
We prove the uniqueness of solutions of the Ricci flow on complete noncompact manifolds with bounded curvatures using the De Turck approach. As a consequence we obtain a correct proof of the existence of solution of the Ricci harmonic flow on complete noncompact manifolds with bounded curvatures.