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arxiv: 0710.4317 · v1 · submitted 2007-10-23 · 🧮 math.AP · math.DG

One dimensional conformal metric flow II

classification 🧮 math.AP math.DG
keywords conformaldimensionalflowsmetriccontinueconvergencederivativesequations
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In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in [8]. In this part we mainly focus on evolution equations involving fourth order derivatives. The global existence and exponential convergence of metrics for the 1-Q and 4-Q flows are obtained.

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