Volume and Area Renormalizations for Conformally Compact Einstein Metrics

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This article describes some geometric invariants and conformal anomalies for conformally compact Einstein manifolds and their minimal submanifolds which have recently been discovered via the Anti-de Sitter/Conformal Field Theory correspondence.
15 pages, to appear Proc. of 19th Winter School in Geometry and Physics, Srni, Czech Rep., Jan. 1999

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