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The Decomposition of Global Conformal Invariants (AM-182)$
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Spyros Alexakis

Print publication date: 2012

Print ISBN-13: 9780691153476

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153476.001.0001

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The Inductive Step of the Fundamental Proposition: The Simpler Cases

The Inductive Step of the Fundamental Proposition: The Simpler Cases

Chapter:
(p.211) Chapter Five The Inductive Step of the Fundamental Proposition: The Simpler Cases
Source:
The Decomposition of Global Conformal Invariants (AM-182)
Author(s):

Spyros Alexakis

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691153476.003.0005

This chapter takes up the proof of Lemmas 4.16 and 4.19, which are easier than Lemma 4.24. The proof of these two lemmas relies on the study of the first conformal variation of the assumption of Proposition 4.13. This study involves many complicated calculations and also the appropriate use of the inductive assumption of Proposition 4.13.

Keywords:   lemmas, conformal invariants, Riemannian invariants

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