View:

- no detail
- some detail
- full detail

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

*Spyros Alexakis*

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153476
- eISBN:
- 9781400842728
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153476.001.0001
- Subject:
- Mathematics, Geometry / Topology

This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question ... More

## A Result on the Structure of Local Riemannian Invariants: The Fundamental Proposition

*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/9780691153476.003.0004
- Subject:
- Mathematics, Geometry / Topology

This chapter sets up a highly complicated proposition (the fundamental proposition 4.13), which is to be proven by an elaborate induction on four parameters. It is organized as follows. Section 4.2 ... More

## The Inductive Step of the Fundamental Proposition: The Simpler Cases

*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/9780691153476.003.0005
- Subject:
- Mathematics, Geometry / Topology

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 ... More

## The Inductive Step of the Fundamental Proposition: The Hard Cases, Part I

*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/9780691153476.003.0006
- Subject:
- Mathematics, Geometry / Topology

This chapter takes up the proof of Lemma 4.24, which has two cases, A and B. The strategy goes as follows: It first repeats the ideas from Chapter 5 and derives a new local equation from the ... More

## The Inductive Step of the Fundamental Proposition: The Hard Cases, Part II

*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/9780691153476.003.0007
- Subject:
- Mathematics, Geometry / Topology

This chapter takes up the proof of Lemma 4.24 in Case B; this completes the inductive step of the proof of the fundamental proposition 4.13. The chapter recalls that Lemma 4.24 applies when all ... More

View:

- no detail
- some detail
- full detail