Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
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| Creator |
Franco, N.
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| Description |
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.
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| Date |
2019-02-09T19:27:42Z
2019-02-09T19:27:42Z 2010 |
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| Type |
Article
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| Identifier |
Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry / N. Franco // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 58B34; 53C50 DOI:10.3842/SIGMA.2010.064 http://dspace.nbuv.gov.ua/handle/123456789/146501 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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