论文标题
Ricci流的抛物线频率
Parabolic frequency on Ricci flows
论文作者
论文摘要
本文定义了RICCI流中热方程解决方案溶液的抛物线频率，并证明了其沿流量的单调性。已知频率单调性具有许多有用的后果。在这里，它显示出一个简单的向后唯一性证明。对于RICCI流的更通用抛物线方程的溶液，本文在频率的导数上提供了界限，这同样意味着向后的唯一性。
This paper defines a parabolic frequency for solutions of the heat equation on a Ricci flow and proves it's monotonicity along the flow. Frequency monotonicity is known to have many useful consequences; here it is shown to provide a simple proof of backwards uniqueness. For solutions of more general parabolic equations on a Ricci flow, this paper provides bounds on the derivative of the frequency, which similarly imply backwards uniqueness.
