Existence of Ricci flows of incomplete surfaces

Details Existence of Ricci flows of incomplete surfaces Existence of Ricci flows of incomplete surfaces

2010-07-19

arxiv.org/abs/1007.3146v2

Comm. Partial Differential Equations, 36 (2011) 1860--1880

Mathematics

Analysis of PDEs

20 pages; updated to reflect galley proof corrections

Scientific paper

10.1080/03605302.2011.558555

We prove a general existence result for instantaneously complete Ricci flows
starting at an arbitrary Riemannian surface which may be incomplete and may
have unbounded curvature. We give an explicit formula for the maximal existence
time, and describe the asymptotic behaviour in most cases.

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