Uniqueness and Nonuniqueness for Ricci Flow on Surfaces: Reverse Cusp Singularities
نویسندگان
چکیده
منابع مشابه
Uniqueness and nonuniqueness for Ricci flow on surfaces: Reverse cusp singularities
We extend the notion of what it means for a complete Ricci flow to have a given initial metric, and consider the resulting well-posedness issues that arise in the 2D case. On one hand we construct examples of nonuniqueness by showing that surfaces with cusps can evolve either by keeping the cusps or by contracting them. On the other hand, by adding a noncollapsedness assumption for the initial ...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2011
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnr082