Space of Kähler metrics (IV)--On the lower bound of the K-energy

dc.creatorChen, Xiuxiong
dc.date2008-09-24
dc.date2008-09-25
dc.date.accessioned2026-07-07T10:04:54Z
dc.date.available2026-07-07T10:04:54Z
dc.descriptionWe partially confirm an old conjecture of Donaldson that if there exists a cscK metrics in a given Kähler class, then there is no degenerated geodesic ray which is tamed by a bounded ambient geometry unless it parallels to a holomorphic line consists of cscK metrics only. We also prove that for simple test configuration where the central fibre has a cscK metric, the K energy functionals in the nearby fibre must also have a uniform lower bound in its underlying Kähler class.
dc.identifierhttps://arxiv.org/abs/0809.4081
dc.identifierhttp://arxiv.org/abs/0809.4081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169851
dc.subjectDifferential Geometry
dc.titleSpace of Kähler metrics (IV)--On the lower bound of the K-energy
dc.typetext

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