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Perelman's W-functional and stability of...
Tian, Gang...
Perelman's W-functional and stability of K\"ahler-Ricci flow by Tian, Gang ( Author )
Australian National University
01-08-2023
In this expository note, we study the second variation of Perelman's entropy on the space of Kahler metrics at a K\"ahler-Ricci soliton. We prove that the entropy is stable in the sense of variations. In particular, Perelman's entropy is stable along the K\"ahler-Ricci flow. The Chinese version of this note has appeared in a volume in honor of professor K.C.Chang (Scientia Sinica Math., 46 (2016), 685-696).
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English
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MYR 0.01
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http://arxiv.org/abs/0801.3504
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