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The Ambient Metric (AM-178) by C. Graham, Charles Fefferman

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Chapter Nine

 

Scalar Invariants

The jet isomorphism theorem 8.10 reduces the study of local invariants of conformal structures to the study of P-invariants of figure (we must of course impose the usual finite-order truncation for n even). An invariant theory for scalar P-invariants of Tfigure was developed in [BEGr]. In this chapter we show how to derive a characterization of scalar invariants of conformal structures by reduction to the relevant results of [BEGr].

Recall that a scalar invariant I(g) of metrics of signature (p, q) is a polynomial in the variables ...

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