Twistor Theory of Dancing Paths

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

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Author: Dunajski, Maciej
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211641
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Twistor Theory of Dancing Paths. Maciej Dunajski. SIGMA 18 (2022), 027, 13 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine