Uniqueness of instantaneously complete Ricci flows
Uniqueness of instantaneously complete Ricci flows
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DOI：
10.2140/gt.2015.19.1477
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发表时间：
2013-05
影响因子：
2
通讯作者：
P. Topping
中科院分区：
文献类型：
--
作者：
P. Topping
证明了曲面上瞬时完全Ricci流的唯一性。我们不要求曲率或它在无穷远处的增长有任何形式的界限，也不要求度量或它的增长有任何形式的界限（除了瞬时完备性所暗示的界限）。再加上早期的工作，这就完成了表面上瞬时完整里奇流的适定性理论。35K55、53C44、58J35
We prove uniqueness of instantaneously complete Ricci flows on surfaces. We do not require any bounds of any form on the curvature or its growth at infinity, nor on the metric or its growth (other than that implied by instantaneous completeness). Coupled with earlier work, this completes the well-posedness theory for instantaneously complete Ricci flows on surfaces. 35K55, 53C44; 58J35