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Mathematics > Differential Geometry

arXiv:0710.1671 (math)
[Submitted on 9 Oct 2007 (v1), last revised 10 Oct 2007 (this version, v2)]

Title:Jet isomorphism for conformal geometry

Authors:C. Robin Graham
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Abstract: 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.
Comments: 29 pages, based on lectures delivered at the 2007 Winter School 'Geometry and Physics', Srni, Czech Republic; v.2 corrects typos introduced by arXiv HyperTeX macro
Subjects: Differential Geometry (math.DG)
MSC classes: 53B20
Cite as: arXiv:0710.1671 [math.DG]
  (or arXiv:0710.1671v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.0710.1671

Submission history

From: C. Robin Graham [view email]
[v1] Tue, 9 Oct 2007 19:00:11 UTC (28 KB)
[v2] Wed, 10 Oct 2007 01:01:10 UTC (28 KB)
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