One Dimensional Conformal Metric Flows

Details One Dimensional Conformal Metric Flows One Dimensional Conformal Metric Flows

2006-11-10

arxiv.org/abs/math/0611319v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

This is the second paper of our series of papers on one dimensional conformal metric flows. In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in math.AP/0611254. We prove the global existence and convergence of the one dimensional Yamabe and affine flows. Furthermore, we obtain exponential convergence of the metrics under these flows.

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