Riemannian Geometry of a Discretized Circle and Torus

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Bochniak, Arkadiusz, Sitarz, Andrzej, Zalecki, Paweł
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211076
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Riemannian Geometry of a Discretized Circle and Torus. Arkadiusz Bochniak, Andrzej Sitarz and Paweł Zalecki. SIGMA 16 (2020), 143, 28 pages

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...