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Convergence of metrics under self-dual Weyl tensor and scalar curvature bounds
Xu, Yiyan
2016
关键词RICCI CURVATURE RIEMANNIAN-MANIFOLDS VOLUME GROWTH SPACES COMPACTNESS SURFACES THEOREMS MODULI DECAY
英文摘要We establish a C-1,C-alpha-compactness theorem for metrics with bounded self-dual Weyl tensor and scalar curvature. The main ingredient is the C-1,C-alpha-harmonic radius estimate, where a blow up analysis as in [2] is used. Our result is motivated by, and may be applied to, the Calabi flow on complex surfaces.; SCI(E); ARTICLE; xuyiyan@math.pku.edu.cn; 57-76; 710
语种英语
出处SCI
出版者JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/439020]  
专题数学科学学院
推荐引用方式
GB/T 7714
Xu, Yiyan. Convergence of metrics under self-dual Weyl tensor and scalar curvature bounds. 2016-01-01.
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