| Abstract: |
| List flow is a geometric flow for a pair $(g,u)$, where $g$ is a Riemannian metric and $u$ a smooth function.
This extended Ricci flow system has applications to static vacuum solutions of the Einstein equations and to Ricci flow on warped products.
The coupling induces additional difficulties compared to Ricci flow, which we overcome by proving an improved bound on the Hessian of the function u. This allows us to prove a convergence result, a singularity classification result and a surgery result in three dimensions. |
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