Riemannian Geometry of a Discretized Circle and Torus

We extend the results of Riemannian geometry over finite groups and provide a full classification of all linear connections for the minimal noncommutative differential calculus over a finite cyclic group. We solve the torsion-free and metric compatibility condition in general and show that there are...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Bochniak, Arkadiusz, Sitarz, Andrzej, Zalecki, Paweł
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211076
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Riemannian Geometry of a Discretized Circle and Torus. Arkadiusz Bochniak, Andrzej Sitarz and Paweł Zalecki. SIGMA 16 (2020), 143, 28 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine