K Energy and K stability on Hypersurfaces

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dc.creatorLu, Zhiqin
dc.date2001-08-02
dc.date.accessioned2026-07-07T04:42:50Z
dc.date.available2026-07-07T04:42:50Z
dc.descriptionIn this paper, we study the limiting properties of the $K$ energy for smooth hypersurfaces in the projective spaces. Our result generalizes the result of Ding-Tian (W. Ding and G. Tian. Kähler-Einstein metrics and the generalized Futaki invariant. {\em Invent Math}, 110:315-335, 1992.) in the case of hypersurfaces. In particular, we allow the center fiber of a special degeneration (a degeneration by a one-parameter group) to have multiplicity great than 1.
dc.identifierhttps://arxiv.org/abs/math/0108009
dc.identifierhttp://arxiv.org/abs/math/0108009
dc.identifierCommunications in Analysis and Geometry, vol 12(3), 2004, pp 599-628
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61952
dc.subjectDifferential Geometry
dc.subject53A30
dc.titleK Energy and K stability on Hypersurfaces
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