Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds

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dc.creatorLee, John M.
dc.date2001-05-07
dc.date2006-07-27
dc.date.accessioned2026-07-07T06:35:24Z
dc.date.available2026-07-07T06:35:24Z
dc.descriptionThe main purpose of this monograph is to give an elementary and self-contained account of the existence of asymptotically hyperbolic Einstein metrics with prescribed conformal infinities sufficiently close to that of a given asymptotically hyperbolic Einstein metric with nonpositive curvature. The proof is based on an elementary derivation of sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.
dc.descriptionLatex; 83 + vi pages. Fixed an error in the proof of Lemma 3.7(b)
dc.identifierhttps://arxiv.org/abs/math/0105046
dc.identifierhttp://arxiv.org/abs/math/0105046
dc.identifierMem. Amer. Math. Soc. 183 (2006), 83pp., ISBN 0821839152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99783
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C25; 58J05, 58J60
dc.titleFredholm Operators and Einstein Metrics on Conformally Compact Manifolds
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