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June 2014 A Lorentz form associated to contact sub-conformal and CR manifolds
Elisha Falbel, José Miguel Veloso
Kodai Math. J. 37(2): 405-426 (June 2014). DOI: 10.2996/kmj/1404393895


We construct a bilinear form associated to a sub-conformal structure on a manifold M. In the case the sub-conformal structure corresponds to a partially-integrable CR structure we obtain a conformal Lorentz structure which coincides with Fefferman's construction on a circle bundle over M. The main contribution is the use of invariant forms with values in a vector space instead of the full information contained in the Cartan connection in order to simplify the construction.


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Elisha Falbel. José Miguel Veloso. "A Lorentz form associated to contact sub-conformal and CR manifolds." Kodai Math. J. 37 (2) 405 - 426, June 2014.


Published: June 2014
First available in Project Euclid: 3 July 2014

zbMATH: 1295.32046
MathSciNet: MR3229084
Digital Object Identifier: 10.2996/kmj/1404393895

Rights: Copyright © 2014 Tokyo Institute of Technology, Department of Mathematics


Vol.37 • No. 2 • June 2014
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