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Riemannian manifolds in noncommutative geometry

✍ Scribed by Steven Lord; Adam Rennie; Joseph C. Várilly


Book ID
113637372
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
430 KB
Volume
62
Category
Article
ISSN
0393-0440

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Noncommutative Riemannian geometry of th
✍ F. Ngakeu; S. Majid; D. Lambert 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We study the noncommutative Riemannian geometry of the alternating group A 4 = (Z 2 × 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