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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Format: | Article |
Language: | English |
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Institute of Mathematics
2022
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Online Access: | View Fulltext in Publisher |