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Bergman kernel along the Kahler-Ricci flow and Tian's conjecture
Jiang, Wenshuai
2016
关键词CURVATURE BOUNDS HEAT KERNEL MANIFOLDS SPACES DEFORMATION
英文摘要In this paper, we study the behavior of Bergman kernels along the Kahler-Ricci flow on Fano manifolds. We show that the Bergman kernels are equivalent along the Kahler-Ricci flow for short time under certain condition on the Ricci curvature of the initial metric. Then, using a recent work of Tian and Zhang, we can solve a conjecture of Tian for Fano manifolds of complex dimension at most 3.; SCI(E); ARTICLE; jiangwenshuai@pku.edu.cn; 195-226; 717
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/20.500.11897/491774]  
专题数学科学学院
推荐引用方式
GB/T 7714
Jiang, Wenshuai. Bergman kernel along the Kahler-Ricci flow and Tian's conjecture. 2016-01-01.
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