A new look at Levi-Civita connection in noncommutative geometry
A new look at Levi-Civita connection in noncommutative geometry
We prove the existence and uniqueness of Levi-Civita connections for strongly [Formula: see text]-compatible pseudo-Riemannian metrics on tame differential calculi. Such pseudo-Riemannian metrics properly contain the classes of bilinear metrics as well as their conformal deformations. This extends the previous results in [J. Bhowmick, D. Goswami and S. Mukhopadhyay, Levi-Civita …