Conformal Bach flow
Abstract: We introduce conformal Bach flow and establish its
well-posedness on closed manifolds. We also obtain its backward
uniqueness. To give an attempt to study the long-time behavior of
conformal Bach flow, assuming that the curvature and the pressure
function are bounded, global and local Shi's type
L2-estimate of derivatives of curvatures are derived.
This is a joint work with Jiaqi Chen and Jie Qing.