Twistor Theory of Dancing Paths

Given a path geometry on a surface U, we construct a causal structure on a four-manifold which is the configuration space of non-incident pairs (point, path) on U. This causal structure corresponds to a conformal structure if and only if U is a real projective plane, and the paths are lines. We give...

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Bibliographic Details
Main Author: Dunajski, M. (Author)
Format: Article
Language:English
Published: Institute of Mathematics 2022
Subjects:
Online Access:View Fulltext in Publisher