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math.OA2024
Curvature and Weitzenbock formula for the Podleś quantum sphere
Bram Mesland, Adam Rennie
We prove that there is a unique Levi-Civita connection on the one-forms of the Dabrowski-Sitarz spectral triple for the Podleś sphere . We compute the full curvature ten…
math.OA2024
Curvature and Weitzenbock formula for spectral triples
Bram Mesland, Adam Rennie
Using the Levi-Civita connection on the noncommutative differential one-forms of a spectral triple $(\B,\H,\D)$, we define the full Riemann curvature tensor, the Ricci curvature te…