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Riemannian geometry of noncommutative surfaces

✍ Scribed by Chaichian, M.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao


Book ID
120404567
Publisher
American Institute of Physics
Year
2008
Tongue
English
Weight
541 KB
Volume
49
Category
Article
ISSN
0022-2488

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Noncommutative Riemannian geometry of th
✍ F. Ngakeu; S. Majid; D. Lambert πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 167 KB

We study the noncommutative Riemannian geometry of the alternating group A 4 = (Z 2 Γ— Z 2 ) Z 3 using the recent formulation for finite groups. We find a unique 'Levi-Civita' connection for the invariant metric, and find that it has Ricci flat but nonzero Riemann curvature. We show that it is the un