skip to content
The ambient metric Preview this item
ClosePreview this item
Checking...

The ambient metric

Author: Charles Fefferman; C Robin Graham
Publisher: Princeton : Princeton University Press, ©2012.
Series: Annals of mathematics studies, no. 178.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Fefferman, Charles, 1949-
Ambient metric.
Princeton : Princeton University Press, 2011
(DLC) 2011023939
(OCoLC)724663249
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Charles Fefferman; C Robin Graham
ISBN: 9781400840588 1400840589 9781283290951 1283290952
OCLC Number: 758372784
Description: 1 online resource (111 pages).
Contents: 1. Introduction --
2. Ambient Metrics --
3. Formal Theory --
4. Poincare? Metrics --
5. Self-dual Poincare? Metrics --
6. Conformal Curvature Tensors --
7. Conformally Flat and Conformally Einstein Spaces --
8. Jet Isomorphism --
9. Scalar Invariants.
Series Title: Annals of mathematics studies, no. 178.
Responsibility: Charles Fefferman, C. Robin Graham.

Abstract:

Develops and applies a theory of the ambient metric in conformal geometry. This title includes the derivation of the ambient obstruction tensor and an analysis of the cases of conformally flat and  Read more...

Reviews

Editorial reviews

Publisher Synopsis

"[T]his careful exposition has been well worth the wait!"--Michael G. Eastwood, Mathematical Reviews Clippings "It is concise, but detailed, accurate, and comprehensive in its treatment of the topics Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/758372784> # The ambient metric
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "758372784" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nju> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/900760036#Place/princeton> ; # Princeton
    schema:about <http://experiment.worldcat.org/entity/work/data/900760036#Topic/mathematics_geometry_analytic> ; # MATHEMATICS--Geometry--Analytic
    schema:about <http://dewey.info/class/516.37/e23/> ;
    schema:about <http://id.worldcat.org/fast/875029> ; # Conformal geometry
    schema:about <http://id.worldcat.org/fast/875030> ; # Conformal invariants
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/172973626> ; # C. Robin Graham
    schema:copyrightYear "2012" ;
    schema:creator <http://viaf.org/viaf/114191726> ; # Charles Fefferman
    schema:datePublished "2012" ;
    schema:description "1. Introduction -- 2. Ambient Metrics -- 3. Formal Theory -- 4. Poincare? Metrics -- 5. Self-dual Poincare? Metrics -- 6. Conformal Curvature Tensors -- 7. Conformally Flat and Conformally Einstein Spaces -- 8. Jet Isomorphism -- 9. Scalar Invariants."@en ;
    schema:description "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."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/900760036> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/900760036#Series/annals_of_mathematics_studies> ; # Annals of mathematics studies ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/724663249> ;
    schema:name "The ambient metric"@en ;
    schema:productID "758372784" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/758372784#PublicationEvent/princeton_princeton_university_press_2012> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/900760036#Agent/princeton_university_press> ; # Princeton University Press
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=396360> ;
    schema:url <http://ebookcentral.proquest.com/lib/macewan-ebooks/detail.action?docID=784515> ;
    schema:url <http://ebookcentral.proquest.com/lib/rdc/detail.action?docID=784515> ;
    schema:url <http://ebookcentral.proquest.com/lib/warw/detail.action?docID=784515> ;
    schema:url <http://proquest.safaribooksonline.com/9781400840588> ;
    schema:url <https://ebookcentral.proquest.com/lib/stanford-ebooks/detail.action?docID=784515> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://proquest.safaribooksonline.com/?uiCode=carleton&xmlId=9781400840588> ;
    schema:url <http://0-search.ebscohost.com.librarycatalog.vts.edu/login.aspx?direct=true&scope=site&db=nlebk&AN=396360> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=784515> ;
    schema:url <http://ebookcentral.proquest.com/lib/concordiaab-ebooks/detail.action?docID=784515> ;
    schema:url <http://proquest.tech.safaribooksonline.de/9781400840588> ;
    schema:url <http://site.ebrary.com/id/10503246> ;
    schema:url <http://www.jstor.org/stable/10.2307/j.ctt7rjjg> ;
    schema:url <http://0-www.jstor.org.lib.exeter.ac.uk/stable/10.2307/j.ctt7rjjg> ;
    schema:url <https://grinnell.idm.oclc.org/login?url=http://www.jstor.org/stable/10.2307/j.ctt7rjjg> ;
    schema:url <http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=784515> ;
    schema:url <http://ebookcentral.proquest.com/lib/gprc-ebooks/detail.action?docID=784515> ;
    schema:url <http://dx.doi.org/10.1515/9781400840588> ;
    schema:url <http://gold.worcester.edu/login?url=http://site.ebrary.com/lib/worcesteruniv/Doc?id=10503246> ;
    schema:url <https://ebookcentral.proquest.com/lib/ualberta/detail.action?docID=784515> ;
    schema:workExample <http://worldcat.org/isbn/9781283290951> ;
    schema:workExample <http://worldcat.org/isbn/9781400840588> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/758372784> ;
    .


Related Entities

<http://0-www.jstor.org.lib.exeter.ac.uk/stable/10.2307/j.ctt7rjjg>
    rdfs:comment "Available online via JSTOR. Login when prompted." ;
    .

<http://ebookcentral.proquest.com/lib/concordiaab-ebooks/detail.action?docID=784515>
    rdfs:comment "from Ebook Central Academic Complete" ;
    rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebookcentral.proquest.com/lib/gprc-ebooks/detail.action?docID=784515>
    rdfs:comment "from Ebook Central Academic Complete" ;
    rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebookcentral.proquest.com/lib/macewan-ebooks/detail.action?docID=784515>
    rdfs:comment "from Ebook Central Academic Complete" ;
    rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://ebookcentral.proquest.com/lib/rdc/detail.action?docID=784515>
    rdfs:comment "from Ebook Central Academic Complete" ;
    rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://experiment.worldcat.org/entity/work/data/900760036#Agent/princeton_university_press> # Princeton University Press
    a bgn:Agent ;
    schema:name "Princeton University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/900760036#Series/annals_of_mathematics_studies> # Annals of mathematics studies ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/758372784> ; # The ambient metric
    schema:name "Annals of mathematics studies ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/900760036#Topic/mathematics_geometry_analytic> # MATHEMATICS--Geometry--Analytic
    a schema:Intangible ;
    schema:name "MATHEMATICS--Geometry--Analytic"@en ;
    .

<http://id.worldcat.org/fast/875029> # Conformal geometry
    a schema:Intangible ;
    schema:name "Conformal geometry"@en ;
    .

<http://id.worldcat.org/fast/875030> # Conformal invariants
    a schema:Intangible ;
    schema:name "Conformal invariants"@en ;
    .

<http://viaf.org/viaf/114191726> # Charles Fefferman
    a schema:Person ;
    schema:birthDate "1949" ;
    schema:familyName "Fefferman" ;
    schema:givenName "Charles" ;
    schema:name "Charles Fefferman" ;
    .

<http://viaf.org/viaf/172973626> # C. Robin Graham
    a schema:Person ;
    schema:birthDate "1954" ;
    schema:familyName "Graham" ;
    schema:givenName "C. Robin" ;
    schema:name "C. Robin Graham" ;
    .

<http://worldcat.org/isbn/9781283290951>
    a schema:ProductModel ;
    schema:isbn "1283290952" ;
    schema:isbn "9781283290951" ;
    .

<http://worldcat.org/isbn/9781400840588>
    a schema:ProductModel ;
    schema:isbn "1400840589" ;
    schema:isbn "9781400840588" ;
    .

<http://www.worldcat.org/oclc/724663249>
    a schema:CreativeWork ;
    rdfs:label "Ambient metric." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/758372784> ; # The ambient metric
    .

<https://ebookcentral.proquest.com/lib/stanford-ebooks/detail.action?docID=784515>
    rdfs:comment "Available to Stanford-affiliated users." ;
    .

<https://ebookcentral.proquest.com/lib/ualberta/detail.action?docID=784515>
    rdfs:comment "from Ebook Central Academic Complete" ;
    rdfs:comment "(Unlimited Concurrent Users)" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.