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Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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| dc.contributor.author | Franco, N. | |
| dc.date.accessioned | 2019-02-09T19:27:42Z | |
| dc.date.available | 2019-02-09T19:27:42Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 58B34; 53C50 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2010.064 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146501 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. We would like to thank the anonymous referees for their useful remarks and relevant contribution to this paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
