Ricci flow of negatively curved incomplete surfaces
نویسندگان
چکیده
منابع مشابه
ricci flow of negatively curved incomplete surfaces
We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.
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We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.
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where r = ∫ Rdμ/ ∫ dμ is the average scalar curvature (R is the scalar curvature) and Ric is the Ricci curvature tensor of h. Hamilton then spectacularly illustrated the success of this method by proving, when n = 3, that if the initial Riemannian metric has strictly positive Ricci curvature it evolves through time to a positively curved Einstein metric h∞ on M . And, because n = 3, such a Riem...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2009
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-009-0290-x