Ricci flow of negatively curved incomplete surfaces

Ricci flow of negatively curved incomplete surfaces
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负曲不完全曲面的里奇流

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
P. Topping
P. Topping
中科院分区:
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文献类型:
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作者:
Gregor Giesen;P. Topping

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我们证明了在一致负曲率的表面上的Ricci流的唯一性,并假设该流是瞬时完全的。与[10]中证明的更一般的存在性结果一起,这解决了该类中的适定性问题。
We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.