On the renormalized volumes for conformally compact Einstein manifolds

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dc.creatorChang, Alice
dc.creatorQing, Jie
dc.creatorYang, Paul
dc.date2005-12-15
dc.date2005-12-20
dc.date.accessioned2026-07-07T06:55:22Z
dc.date.available2026-07-07T06:55:22Z
dc.descriptionWe study the renormalized volume of a conformally compact Einstein manifold. In even dimensions, we derive the analogue of the Chern-Gauss-Bonnet formula incorporating the renormalized volume. When the dimension is odd, we relate the renormalized volume to the conformal primitive of the $Q$-curvature. We show how all the global information come from the Scattering.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0512376
dc.identifierhttp://arxiv.org/abs/math/0512376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106259
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C21, 58J50
dc.titleOn the renormalized volumes for conformally compact Einstein manifolds
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