Renormalized Chern-Gauss-Bonnet formula for complete Kahler-Einstein metrics
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🧮 math.CV
keywords
formulainvariantkahler-einsteinmetricspseudo-einsteinrenormalizedapproximateboundaries
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We present a renormalized Gauss-Bonnet formula for approximate Kahler-Einstein metrics on compact complex manifolds with pseudo-Einstein CR boundaries. The boundary integral is given explicitly, and it is proved that it gives a pseudo-Einstein invariant, which generalizes the Burns-Epstein invariant.
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