Pseudo-Einstein and Q-flat metrics with eigenvalue estimates on CR-hypersurfaces

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dc.creatorCao, Jianguo
dc.creatorChang, Shu-Cheng
dc.date2006-09-11
dc.date2007-10-15
dc.date.accessioned2026-07-07T08:36:06Z
dc.date.available2026-07-07T08:36:06Z
dc.descriptionLet $M^{2n-1}$ be the smooth boundary of a bounded strongly pseudo-convex domain $Ω$ in a complete Stein manifold $V^{2n}$. Then (1) For $n \ge 3$, $M^{2n-1}$ admits a pseudo-Eistein metric; (2) For $n \ge 2$, $M^{2n-1}$ admits a Fefferman metric of zero CR Q-curvature; and (3) for a compact strictly pseudoconvex CR embeddable 3-manifold $M^3$, its CR Paneitz operator $P$ is a closed operator.
dc.identifierhttps://arxiv.org/abs/math/0609312
dc.identifierhttp://arxiv.org/abs/math/0609312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139954
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject53C56, 32V15
dc.titlePseudo-Einstein and Q-flat metrics with eigenvalue estimates on CR-hypersurfaces
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