Ricci流的力学
A mechanics for the Ricci flow
摘要:
在紧致的n维无边界流形上构造了与共形平坦黎曼度量相联系的经典力学。相应的梯度里奇流方程原来等于含时的哈密顿-雅可比方程的力学定义。
英文摘要:
We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton-Jacobi equation of the mechanics so defined.
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