| 朱晓睿.一类紧致K¨ahler流形上的Harnack估计[J].数学年刊A辑,2011,32(6):745~752 |
| 一类紧致K¨ahler流形上的Harnack估计 |
| The Harnack Estimate on Compact K¨ahler Manifolds |
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| DOI： |
| 中文关键词: Harnack估计 Khler-Ricci流 热方程 双截面曲率 |
| 英文关键词: |
| 基金项目: |
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| 中文摘要: |
| 给出了一些紧致~K\"{a}hler~流形上具有和时间相关的位势热方程的正解的Hanack估计.作为应用, 得到了两个~K\"{a}hler-Ricci~流下具有非负双截面曲率的单调熵. |
| 英文摘要: |
| The author gives some new Harnack
estimates for positive solutions to time-dependence heat equations
with potentials on compact K\"ahler manifolds. As applications,
two entropies which are monotone under the K\"ahler-Ricci
flow with non-negatively bisectional curvature are introduced. |
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