Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions

Simple item page
dc.creatorHelliwell, Dylan
dc.date2007-05-18
dc.date2008-04-08
dc.date.accessioned2026-07-07T09:30:35Z
dc.date.available2026-07-07T09:30:35Z
dc.descriptionWe study boundary regularity for conformally compact Einstein metrics in even dimensions by generalizing the ideas of Michael Anderson. Our method of approach is to view the vanishing of the Ambient Obstruction tensor as an nth order system of equations for the components of a compactification of the given metric. This, together with boundary conditions that the compactification is shown to satisfy provide enough information to apply classical boundary regularity results. These results then provide local and global versions of finite boundary regularity for the components of the compactification.
dc.description30 pages, minor typos corrected, content in section 7 clarified, references updated
dc.identifierhttps://arxiv.org/abs/0705.2625
dc.identifierhttp://arxiv.org/abs/0705.2625
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158166
dc.subjectDifferential Geometry
dc.subject58J32; 53C25; 35J55
dc.titleBoundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions
dc.typetext

Files

Collections

arXiv