Liouville energy on a topological two sphere

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dc.creatorChen, XiuXiong
dc.creatorZhu, Meijun
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:38:08Z
dc.date.available2026-07-07T08:38:08Z
dc.descriptionIn this paper we shall give an analytic proof of the fact that the Liouville energy on a topological two sphere is bounded from below. Our proof does not rely on the uniformization theorem and the Onofri inequality, thus it is essentially needed in the alternative proof of the uniformization theorem via the Calabi flow. Such an analytic approach also sheds light on how to obtain the boundedness for E_1 energy in the study of general Kähler manifolds.
dc.identifierhttps://arxiv.org/abs/0710.4320
dc.identifierhttp://arxiv.org/abs/0710.4320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140618
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleLiouville energy on a topological two sphere
dc.typetext

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