A new parabolic flow in Kaehler manifolds

dc.creatorChen, Xiuxiong
dc.date2000-09-29
dc.date2000-10-06
dc.date.accessioned2026-07-07T04:37:44Z
dc.date.available2026-07-07T04:37:44Z
dc.descriptionIn this paper, we introduce a new parabolic equation on Kähler manifolds. The static point of this flow is related to the existence of a lower bound of the Mabuchi energy. In this paper, we prove the flow always exists for all times for any initial smooth data. Further more, if the initial metric has non-negative bisectional curvature, we prove the flow converges to a static metric eventually.
dc.description15 pages, only one sentence was changed, to appear in CAG
dc.identifierhttps://arxiv.org/abs/math/0009247
dc.identifierhttp://arxiv.org/abs/math/0009247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60012
dc.subjectDifferential Geometry
dc.titleA new parabolic flow in Kaehler manifolds
dc.typetext

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