eTextbook: The Ambient Metric (AM-178)
Author(s): Fefferman, Charles; Graham, C. Robin
ISBN 10: 0691153140. See all ISBN's
ISBN 13: 9780691153148
Publisher: Princeton University Press
This is an eTextbook Learn More
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics.
The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory.
All ISBN's for this title:
ISBN 10: 0691153140, ISBN 13: 9780691153148, eISBN 10: 1400840589, eISBN 13: 97814008405881. List price can refer to either the digital or print list price, whichever is available to Kno.
Kno offers a 15-day, no questions asked, money back guarantee for all books you buy or rent through the Kno Bookstore. You are eligible for a full refund so long as you do not exceed the chapter limitation notification that appears in the textbook within a 15-day period.
Kno has the largest collection of digital textbooks on the market today. However, publishers do not have rights to make some of their textbooks available in a digital form. But that is changing over time and Kno is working with our publisher partners to make as many titles available digitally as possible.
An eTextbook is the digital version of a physical textbook.
All eTextbooks provided by Kno.com maintain the exact same page numbers and content as their physical versions.
Well, this is embarrassing.
Your transaction was not completed, please try again.
Sorry, there was a problem and your transaction was not processed completely. Please do not try to purchase this book again.
Instead contact Kno Customer Service at 1.877.935.6648 or by email at firstname.lastname@example.org and provide them with the following message number "1201" and they will resolve the issue.
Oops, looks like you already own this book.
Please check your course manager and review your purchased titles.
Hmmm, that's strange.
It appears that this title is not in our catalog after all.
The transaction did not complete because your credit card was declined. Possible reasons include:
- Your bank or credit card company is having technical issues
- The credit card has expired
- The credit card does not have sufficient funds
Our credit card processing service does not specify the cause, so we recommend calling your credit card provider for details.
In a recent customer survey 54% of students using Kno got an A in their class. Kno has over 70 features that will improve your grades, save you time and help you get smarter!
Here's Just a Taste of What Kno Offers
organizes all your textbooks, PDFs and content in one spot.
instantly converts terms from your textbook into beautifully designed and smart flash cards.
any text on a page.
turns any diagram in a book into a multiple choice quiz.
maps instructional videos, images, and photos to formulas & concepts in your book.