Jet isomorphism for conformal geometry

Details Jet isomorphism for conformal geometry Jet isomorphism for conformal geometry

2007-10-09

arxiv.org/abs/0710.1671v2

Mathematics

Differential Geometry

29 pages, based on lectures delivered at the 2007 Winter School 'Geometry and Physics', Srni, Czech Republic; v.2 corrects typ

Scientific paper

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.

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