A criterion for local embeddability of three-dimensional CR structures

Clicks: 7
ID: 118652
2018
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Abstract
We introduce a CR-invariant class of Lorentzian metrics on a circle bundle over a three-dimensional CR structure, which we call FRT metrics. These metrics generalise the Fefferman metric, allowing for more control of the Ricci curvature, but are more special than the shearfree Lorentzian metrics introduced by Robinson and Trautman.Our main result is a criterion for embeddability of three-dimensional CR structures in terms of the Ricci curvature of the FRT metrics in the spirit of the results by Lewandowski et al. (Class Quantum Gravity 7(11):L241–L246, 1990) and also Hill et al. (Indiana Univ Math J 57(7):3131–3176, 2008. https://doi.org/10.1512/iumj.2008.57.3473 ).
Reference Key
schmalz2018annalia Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Gerd Schmalz;Masoud Ganji;Gerd Schmalz;Masoud Ganji;
Journal annali di matematica pura ed applicata (1923 -)
Year 2018
DOI
doi:10.1007/s10231-018-0785-1
URL
https://link.springer.com/article/10.1007/s10231-018-0785-1
Keywords
mathematics general

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