Timeline for Ricci flow and conformal classes
Current License: CC BY-SA 3.0
2 events
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| Oct 1, 2014 at 10:36 | comment | added | Willie Wong | In fact, if the conformal class is preserved we have $g(t) = \lambda(t,x) g_0$ for some function $t$, which by the Ricci flow forces the Ricci curvature to be proportional to the metric. Using that the Einstein tensor is divergence free for any Riemannian manifold, in dimension $n > 2$ this implies that $\lambda(t,x) = \lambda(t)$ and so your solution at each time $t$ is an Einstein manifold. | |
| Oct 1, 2014 at 2:59 | history | answered | Robert Bryant | CC BY-SA 3.0 |