LEADER 05082nam 2201081 a 450 001 9910461803903321 005 20200520144314.0 010 $a1-283-29095-2 010 $a9786613290953 010 $a1-4008-4058-9 024 7 $a10.1515/9781400840588 035 $a(CKB)2670000000122120 035 $a(EBL)784515 035 $a(OCoLC)768165026 035 $a(SSID)ssj0000554343 035 $a(PQKBManifestationID)11392535 035 $a(PQKBTitleCode)TC0000554343 035 $a(PQKBWorkID)10514353 035 $a(PQKB)11109901 035 $a(MiAaPQ)EBC784515 035 $a(StDuBDS)EDZ0000406839 035 $a(DE-B1597)447101 035 $a(OCoLC)979968552 035 $a(DE-B1597)9781400840588 035 $a(PPN)199244502$9sudoc 035 $a(PPN)187958394 035 $a(Au-PeEL)EBL784515 035 $a(CaPaEBR)ebr10503246 035 $a(CaONFJC)MIL329095 035 $a(EXLCZ)992670000000122120 100 $a20110714d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe ambient metric$b[electronic resource] /$fCharles Fefferman, C. Robin Graham 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$d2012 215 $a1 online resource (124 p.) 225 1 $aAnnals of mathematics studies ;$vno. 178 300 $aDescription based upon print version of record. 311 $a0-691-15313-2 311 $a0-691-15314-0 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tChapter One. Introduction -- $tChapter Two. Ambient Metrics -- $tChapter Three. Formal Theory -- $tChapter Four. Poincaré Metrics -- $tChapter Five. Self-dual Poincaré Metrics -- $tChapter Six. Conformal Curvature Tensors -- $tChapter Seven. Conformally Flat and Conformally Einstein Spaces -- $tChapter Eight. Jet Isomorphism -- $tChapter Nine. Scalar Invariants -- $tBibliography -- $tIndex 330 $aThis book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory. 410 0$aAnnals of mathematics studies ;$vno. 178. 606 $aConformal geometry 606 $aConformal invariants 608 $aElectronic books. 610 $aEistein metric. 610 $aFuchsian problems. 610 $aLorentz metric. 610 $aPoincar metric. 610 $aPoincar metrics. 610 $aRicci curvature. 610 $aRiemannian geometry. 610 $aRiemannian metrics. 610 $aTaylor expansion. 610 $aWeyl invariants. 610 $aambient curvature. 610 $aambient metric forms. 610 $aambient metric. 610 $aconformal curvature tensors. 610 $aconformal geometry. 610 $aconformal infinity. 610 $aconformal invariants. 610 $aconformal manifold. 610 $aflat manifolds. 610 $ageodesic normal coordinates. 610 $ainfinite-order formal theory. 610 $ajet isomorphism theorem. 610 $amanifold. 610 $an+2 dimensions. 610 $aparabolic invariant theory. 610 $apower series. 610 $apseudo-Riemannian metric. 610 $ascalar invariants. 610 $aself-dual Einstein metric. 610 $atheorem. 615 0$aConformal geometry. 615 0$aConformal invariants. 676 $a516.3/7 700 $aFefferman$b Charles$f1949-$0476528 701 $aGraham$b C. Robin$f1954-$01048421 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461803903321 996 $aThe ambient metric$92476711 997 $aUNINA LEADER 01401nam 2200397Ia 450 001 996396938203316 005 20200824131946.0 035 $a(CKB)4940000000063800 035 $a(EEBO)2248507588 035 $a(OCoLC)ocm8751649e 035 $a(OCoLC)8751649 035 $a(EXLCZ)994940000000063800 100 $a19820907d1692 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 13$aAn exposition of the assemblies catechism$b[electronic resource] $ewith practical inferences from each question as it was carried on in the Lords Days exercises in Dartmouth, in the first year of liberty, 1688 /$fby John Flavell 210 $aLondon $cPrinted for Tho. Cockerill$d1692 215 $a[6], 224 p 300 $aCaption title: An exposition of the Assemblies Shorter catechism. 300 $a"To the reader" signed: Increase Mather. 300 $aReproduction of original in the Bodleian Library. 330 $aeebo-0014 606 $aPresbyterianism$vCatechisms 615 0$aPresbyterianism 700 $aFlavel$b John$f1630?-1691.$0838516 701 $aMather$b Increase$f1639-1723.$0790750 712 12$aWestminster Assembly$f(1643-1652). 801 0$bUMI 801 1$bUMI 801 2$bm/c 801 2$bUMI 801 2$bWaOLN 906 $aBOOK 912 $a996396938203316 996 $aAn exposition of the assemblies catechism$92368003 997 $aUNISA LEADER 02204nam 2200529 450 001 9910792742703321 005 20230124194020.0 010 $a0-271-07938-X 010 $a0-271-07940-1 024 7 $a10.1515/9780271079400 035 $a(CKB)3710000001095584 035 $a(OCoLC)1080549727 035 $a(MdBmJHUP)muse68699 035 $a(MiAaPQ)EBC6224769 035 $a(DE-B1597)584293 035 $a(OCoLC)974803615 035 $a(DE-B1597)9780271079400 035 $a(EXLCZ)993710000001095584 100 $a20200929d2017 uy 0 101 0 $aeng 135 $aur|||||||nn|n 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNature's experiments and the search for symbolist form /$fAllison Morehead 210 1$aUniversity Park, Pennsylvania :$cThe Pennsylvania State University Press,$d[2017] 210 4$d©2017 215 $a1 online resource (xv, 241 pages :)$cillustrations (chiefly color) ; 225 1 $aRefiguring modernism 311 $a0-271-07674-7 320 $aIncludes bibliographical references (pages 207-228) and index. 327 $aToward an experimental symbolism: ideas and ideals -- Defending deformation : Maurice Denis's positivist modernism -- E?douard Vuillard's experimental arabesques -- August Strindberg's naturalistic symbolism -- Madness as method : the pathological experiments of Edvard Munch. 330 $a"Examines the influence of experimental science, concerned with the workings of the body, the mind, and their various pathologies, on the works of late nineteenth-century artists Maurice Denis, E?douard Vuillard, August Strindberg, and Edvard Munch"--Provided by publisher. 410 0$aRefiguring modernism. 606 $aSymbolism (Art movement) 606 $aArt and science$xHistory$y19th century 615 0$aSymbolism (Art movement) 615 0$aArt and science$xHistory 676 $a704.946 700 $aMorehead$b Allison$01514313 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910792742703321 996 $aNature's experiments and the search for symbolist form$93749332 997 $aUNINA