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Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Інший ID:
2010 Mathematics Subject Classification: 58B34; 53C50
DOI:10.3842/SIGMA.2010.064
DOI:10.3842/SIGMA.2010.064
Посилання:
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.
Підтримка:
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.
Дата:
2010
Переглядів:
430
Завантажень:
231
Анотація:
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.
