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Levi flat CR structures on 3D Lie algebras

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Abstract

We completely classify Levi flat CR structures (that is, CR structures with vanishing Levi form) on three-dimensional real Lie algebras, in terms of their algebraic and almost contact properties.

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Acknowledgements

First and third authors are members of INDAM-GNSAGA (Italy). Second author is partially supported by the joint Doctoral School of Università degli studi della Basilicata (Potenza, Italy) and Università del Salento.

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  1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Via Provinciale Lecce-Arnesano, 73100, Lecce, Italy

    Giovanni Calvaruso, Francesco Esposito & Domenico Perrone

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  1. Giovanni Calvaruso
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  2. Francesco Esposito
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  3. Domenico Perrone
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Correspondence to Giovanni Calvaruso.

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Calvaruso, G., Esposito, F. & Perrone, D. Levi flat CR structures on 3D Lie algebras. Annali di Matematica 199, 2521–2542 (2020). https://doi.org/10.1007/s10231-020-00979-2

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  • DOI: https://doi.org/10.1007/s10231-020-00979-2

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