Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry

Résultats de recherche: Contribution à un journal/une revueArticle

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Résumé

Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to Lorentzian Geometry. We show that, in a globally hyperbolic spacetime, a single global timelike eikonal condition is sufficient to construct a path-independent Lorentzian distance function.
langue originaleAnglais
Pages (de - à)1-11
Nombre de pages11
journalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume6
Numéro de publication064
Les DOIs
étatPublié - 17 août 2010

Empreinte digitale

Noncommutative Geometry
Distance Function
Lorentzian Geometry
Distance formula
Global Constraints
Path
Continuous Function
Space-time
Sufficient
Generalise

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abstract = "Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to Lorentzian Geometry. We show that, in a globally hyperbolic spacetime, a single global timelike eikonal condition is sufficient to construct a path-independent Lorentzian distance function.",
keywords = "Noncommutative Geometry; Lorentzian distance; eikonal inequality",
author = "Nicolas Franco",
year = "2010",
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Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry. / Franco, Nicolas.

Dans: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol 6, Numéro 064, 17.08.2010, p. 1-11.

Résultats de recherche: Contribution à un journal/une revueArticle

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