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arXiv 2210.16620math.APmath.DG
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K“ahler-Einstein度规存在性问题的里奇流方法

Ricci Flow method in the existence problem of the K"ahler-Einstein metrics

Liu Chao

摘要:

本文以曹汉德的文[1]和丘世泰的文[4]为基础,阐述了里奇流方法,并试图对该方法,特别是在某些计算中作详细的说明。Jian Song和Weinkove的注[9]用其他一些估计得到了结果,本文也将解释他们的一些估计。本笔记是作者在2022年夏季几何分析研讨会上讲授里奇流方法时的研讨会讲稿。重要的零级估计的部分将在几天内添加。作者水平有限,如有错误,请不吝指教。任何评论将不胜感激。

英文摘要:

This note illustrates the Ricci flow method based on the Cao.H.D's paper[1] and Yau.S.T's paper[4], and tries to explain the method in detail, especially in some calculations. Jian Song and Weinkove's note[9] used some other estimates to obtain the result, this paper will explain some of their estimates as well. This note was a seminar lecture note in 2022 summer when the author was giving lectures on the geometry analysis seminar reasearching the Ricci flow method. The part of the imporatnt zero order estimate is going to be added in a few days. The level of the author is limited, if there are any errors, please do not hesitate to advise. Any comments will be grateful.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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