Timelike Hilbert and Funk geometries
Résumé
A timelike space is a Hausdorff topological space equipped with a partial order relation $<$ and a distance function $d$ satisfying a set of axioms including certain 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, $d(x,y)$ is defined if and only if $x
Mots clés
Lorentzian
relativity.
light cone
Timelike space
Busemann geometry
geometry
relativity
AMS classification— 53C70
53C22
5C10
53C23
53C50
53C45
timelike Hilbert geometry
timelike Funk geometry
time inequality
convexity
metric geometry
Busemann ge-ometry
Lorentzian geometry
relativity AMS classification-53C70
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https://hal.science/hal-01276762
Soumis le : vendredi 9 novembre 2018-02:56:41
Dernière modification le : jeudi 14 mars 2024-14:20:03
Archivage à long terme le : dimanche 10 février 2019-12:22:33
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Athanase Papadopoulos, Sumio Yamada. Timelike Hilbert and Funk geometries. 2016. ⟨hal-01276762v4⟩
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