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A note on conformal Ricci flow

A note on conformal Ricci flow

In this note we study the conformal Ricci flow that Arthur Fischer introduced in 2004.We use DeTurck's trick to rewrite the conformal Ricci flow as a strong parabolic-elliptic partial differential equation.Then we prove short-time existence for the conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds.We …