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arXiv · 1803.01535

On a criterion for local embeddability of 3-dimensional CR-structures

Masoud Ganji·Gerd Schmalz
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Abstract

We introduce a CR-invariant class of Lorentzian metrics on a circle bundle over a 3-dimensional CR-structure, which we call quasi-Fefferman metrics. These metrics generalise the Fefferman metric but allow for more control of the Ricci curvature. Our main result is a criterion for embaddability of 3-dimensional CR-structures in terms of the Ricci curvature of the quasi-Fefferman metrics in the spirit of the results by Hill et al.

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Masoud Ganji, Gerd Schmalz. 2018-03-05. On a criterion for local embeddability of 3-dimensional CR-structures. https://arxiv.org/abs/1803.01535

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