Abstract
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.
Citation
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. https://doi.org/10.2996/kmj/1404393895
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