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Perelman熵和Khler-Ricci流的稳定性 被引量:1

Perelman's entropy and stability of Khler-Ricci flow
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摘要 本文研究Perelman熵在一个Fano流形上Khler度量空间中的第二变分.特别地,本文证明了Perelman熵在一个Khler-Einstein流形上是稳定的. In this paper, we compute the second variation of Perelman's entropy on Khler metrics space on an underlying Fano manifold. In particular, we show that the Perelman's entropy is stable on a Khler-Einstein manifold.
作者 田刚 朱小华
出处 《中国科学:数学》 CSCD 北大核心 2016年第5期685-696,共12页 Scientia Sinica:Mathematica
基金 国家自然科学基金(批准号:11331001和11271022)资助项目
关键词 Khler-Einstein度量 Khler-Ricci孤立子 Perelman熵 Khler-Einstein metrics Khler-Ricci solitons Perelman's entropy
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