| Title:
|
Jet isomorphism for conformal geometry (English) |
| Author:
|
Graham, Robin C. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
5 |
| Year:
|
2007 |
| Pages:
|
389-415 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Jet isomorphism theorems for conformal geometry are discussed. A new proof of the jet isomorphism theorem for odd-dimensional conformal geometry is outlined, using an ambient realization of the conformal deformation complex. An infinite order ambient lift for conformal densities in the case in which harmonic extension is obstructed is described. A jet isomorphism theorem for even dimensional conformal geometry is formulated using the inhomogeneous ambient metrics recently introduced by the author and K. Hirachi. (English) |
| Keyword:
|
conformal geometry |
| Keyword:
|
ambient metric |
| Keyword:
|
jet isomorphism |
| Keyword:
|
deformation complex |
| MSC:
|
53B20 |
| idZBL:
|
Zbl 1199.53044 |
| idMR:
|
MR2381784 |
| . |
| Date available:
|
2008-06-06T22:51:59Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108080 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[10] Fefferman C., Graham C. R.: The ambient metric.arXiv:0710.0919. |
| Reference:
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[11] Gasqui J., Goldschmidt H.: Déformations Infinitésimales des Structures Conformes Plates.Prog. Math. 52, Birkhäuser, 1984. Zbl 0585.53001, MR 0776970 |
| Reference:
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| Reference:
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| Reference:
|
[14] Graham C. R., Hirachi K.: Inhomogeneous ambient metrics.IMA Vol. Math. Appl. 144: Symmetries and Overdetermined Systems of Partial Differential Equations, Springer, to appear, arXiv:math/0611931. Zbl 1148.53023, MR 2384722 |
| Reference:
|
[15] Graham C. R., Hirachi K.: Ambient realization of conformal jets and deformation complex.in preparation. |
| Reference:
|
[16] Hirachi K.: Construction of boundary invariants and the logarithmic singularity of the Bergman kernel.Ann. of Math. (2) 151 (2000), 151–191, arXiv:math/0010014. MR 1745015 |
| Reference:
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