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The Contact Structure in the Space of Light Rays
- Publication Year :
- 2015
-
Abstract
- The natural topological, differentiable and geometrical structures on the space of light rays of a given spacetime are discussed. The relation between the causality properties of the original spacetime and the natural structures on the space of light rays are stressed. Finally, a symplectic geometrical approach to the construction of the canonical contact structure on the space of light rays is offered.
- Subjects :
- Mathematics - Differential Geometry
53C50, 53D35, 58A30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1510.08139
- Document Type :
- Working Paper