Abstract
We use the CR geometry of the standard hyperquadric in \(\mathbb{CP }_3\) to give a detailed twistor description of conformal foliations in Euclidean 3-space.
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Acknowledgments
The first author is grateful to the Australian National University for support and hospitality while working on this article. The second author is a Federation Fellow of the Australian Research Council. We would like to thank John Bland for several useful conversations on CR geometry and for crucial observations concerning Lagrangian geometry as it appears in Sect. 8 and especially Theorem 7.
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Baird, P., Eastwood, M. CR geometry and conformal foliations. Ann Glob Anal Geom 44, 73–90 (2013). https://doi.org/10.1007/s10455-012-9356-7
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DOI: https://doi.org/10.1007/s10455-012-9356-7