Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2010
Main Author: Franco, N.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146501
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine