CR geometry and conformal foliations
Paul Baird, Michael Eastwood
TL;DR
This paper explores the relationship between CR geometry of hyperquadrics and conformal foliations in Euclidean space, providing a twistor-theoretic perspective on these geometric structures.
Contribution
It offers a novel twistor description of conformal foliations using CR geometry of the hyperquadric in complex projective space.
Findings
Detailed twistor description of conformal foliations
Connection between CR geometry and Euclidean conformal structures
New insights into the geometric structure of foliations
Abstract
We use the CR geometry of the standard hyperquadric in complex projective three-space to give a detailed twistor description of conformal foliations in Euclidean three-space.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Holomorphic and Operator Theory