Jump to ContentJump to Main Navigation
The Ambient Metric (AM-178)$
Users without a subscription are not able to see the full content.
The Ambient Metric (AM-178)

Charles Fefferman and C. Robin Graham

Print publication date: 2011

Print ISBN-13: 9780691153131

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153131.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 21 May 2022

Conformai Curvature Tensors

Conformai Curvature Tensors

Chapter:
(p.56) Chapter Six Conformai Curvature Tensors
Source:
The Ambient Metric (AM-178)
Author(s):

Charles Fefferman

C. Robin Graham

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691153131.003.0006

This chapter studies conformal curvature tensors of a pseudo-Riemannian metric g. These are defined in terms of the covariant derivatives of the curvature tensor of an ambient metric in normal form relative to g. Their transformation laws under conformal change are given in terms of the action of a subgroup of the conformal group O(p + 1, q + 1) on tensors. It is assumed throughout this chapter that n ≥ 3.

Keywords:   conformal curvature tensors, pseudo-Riemannian metric, conformal geometry, ambient metric

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.