Timelike Hilbert and Funk geometries
TIMELIKE HILBERT AND FUNK GEOMETRIES
Résumé
A timelike space is a Hausdorff topological space equipped with a partial order relation $<$ and a distance function $\rho$ satisfying a collection of axioms including a set of compatibility conditions between the partial order relation and the distance function. The distance function is defined only on a subset of the product of the space with itself that contains the diagonal, namely, $\rho(x,y)$ is defined if and only if $x
Mots clés
- 53C45
- 53C50
- 53C23
- 5C10
- 53C22
- Busemann geom- etry AMS classification-53C70
- exterior convex geometry
- relativity AMS classification-53C70
- Lorentzian geometry
- time inequality
- timelike Funk geometry
- AMS classification— 53C70
- relativity
- geometry
- Busemann geometry
- Timelike space
- light cone
- relativity.
- Lorentzian
- timelike Hilbert geometry
- convexity
- metric geometry
- Busemann ge-ometry
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