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One Dimensional Conformal Metric Flows

Analysis of PDEs 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0611319,
  title  = {One Dimensional Conformal Metric Flows},
  author = {Yilong Ni and Meijun Zhu},
  journal= {arXiv preprint arXiv:math/0611319},
  year   = {2007}
}

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22 pages