One-dimensional conformal metric flow

• Autores: Yilong Ni, Meijun Zhu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 4, 2008, págs. 983-1011
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.02.006
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• Resumen

  • In this paper we continue our studies of the one-dimensional conformal metric flows, which were introduced in [Y. Ni, M. Zhu, Extremal one-dimensional conformal metrics, Commun. Contemp. Math., in press]. We prove the global existence and convergence of the flows, as well as the exponential convergence of the metrics under these flows.