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The Calabi flow on toric Fano surface (2008)

Abstract
Using the toric structure, we show that the Calabi flow exists for all time and converges provided that the Sobolev constant is uniformly bounded along the flow on toric surface. On toric Fano surface, we can bound the Sobolev constant naturally.. Comment: Minor modification

Publication details
Download http://arxiv.org/abs/0807.3984
Repository arXiv (United States)
Keywords Mathematics - Differential Geometry, Mathematics - Analysis of PDEs
Type text