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Volume and Area Renormalizations for Conformally Compact Einstein Metrics

arXiv:math/9909042

Abstract

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

Volume and Area Renormalizations for Conformally Compact Einstein Metrics · wovepaper