Moduli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds

Simple item page
dc.creatorChen, Xiuxiong
dc.creatorWeber, Brian
dc.date2007-05-30
dc.date.accessioned2026-07-07T08:03:37Z
dc.date.available2026-07-07T08:03:37Z
dc.descriptionWe consider the moduli space of the extremal Kähler metrics on compact manifolds. We show that under the conditions of two-sided total volume bounds, $L^{n\over2}$-norm bounds on $\Riem$, and Sobolev constant bounds, this Moduli space can be compactified by including (reduced) orbifolds with finitely many singularities. Most of our results go through for certain other classes of critical Riemannian metrics.
dc.description72 pages
dc.identifierhttps://arxiv.org/abs/0705.4440
dc.identifierhttp://arxiv.org/abs/0705.4440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129647
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject51M99
dc.titleModuli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds
dc.typetext

Files

Collections

arXiv