Steady States for One Dimensional Conformal Metric Flows
Abstract
Description
We define two conformal structures on $S^1$ which give rise to a different view of the affine curvature flow and a new curvature flow, the ``$Q$-curvature flow". The steady state of these flows are studied. More specifically, we prove four sharp inequalities, which state the existences of the corresponding extremal metrics.
22 pages, typos corrected
22 pages, typos corrected