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Existence of Ricci flows of incomplete surfaces

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Giesen, Gregor and Topping, Peter, 1971-. (2011) Existence of Ricci flows of incomplete surfaces. Communications in Partial Differential Equations, Vol.36 (No.10). pp. 1860-1880. ISSN 0360-5302

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Official URL: http://dx.doi.org/10.1080/03605302.2011.558555

Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Communications in Partial Differential Equations
Publisher: Taylor & Francis Inc.
ISSN: 0360-5302
Date: 2011
Volume: Vol.36
Number: No.10
Page Range: pp. 1860-1880
Identification Number: 10.1080/03605302.2011.558555
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/44203

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