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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