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The Second Step: The Fefferman-Graham Ambient Metric and the Nature of the Decomposition

Spyros Alexakis

in The Decomposition of Global Conformal Invariants (AM-182)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153476
eISBN:
9781400842728
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153476.003.0003
Subject:
Mathematics, Geometry / Topology

This chapter proves (1.17) when the worst terms in P(g) involve only factors of the differentiated Weyl tensor. This case is much harder than the previous one; in particular, in this case we need ... More


An Iterative Decomposition of Global Conformal Invariants: The First Step

Spyros Alexakis

in The Decomposition of Global Conformal Invariants (AM-182)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153476
eISBN:
9781400842728
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153476.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter fleshes out the strategy of iteratively decomposing any P(g) = unconverted formula 1 for which ∫P(g)dVsubscript g is a global conformal invariant. It makes precise the notions of better ... More


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