收缩Ricci孤子的Li-Yau尖锐等式及其应用
The sharp Li-Yau equality on Shrinking Ricci Solitons with applications
摘要：
证明了在没有任何曲率和体积假设的情况下，收缩Ricci孤子的共轭热核满足尖锐的Li-Yau等式。这个数量产生几个估计，使我们能够分类四维，非紧凑的收缩里奇孤子，这是作为I型奇异模型的里奇流。
英文摘要：
We prove that the sharp Li-Yau equality holds for the conjugate heat kernel on shrinking Ricci solitons without any curvature or volume assumptions. This quantity yields several estimates which allows us to classify four dimensional, non-compact shrinking Ricci solitons, which arise as Type I singularity models to the Ricci flow.
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