科研之友
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摘要
We consider Ricci flow on a closed surface with cone points. The main result is: given a (nonsmooth) cone metric go over a closed surface there is a smooth Ricci flow g(t) defined for (0, T], with curvature unbounded above, such that g(t) tends to go as t -> 0. This result means that Ricci flow provides a way for instantaneously smoothening cone points. We follow the argument of P. Topping in [11] modifying his reasoning for cusps of negative curvature; in that sense we can consider cusps as a limiting zero-angle cone, and we generalize to any angle between 0 and 2 pi.
- 出版日期2015
