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arXiv · 1606.08142

A new look at Levi-Civita connection in noncommutative geometry

Jyotishman Bhowmick·Debashish Goswami·Soumalya Joardar
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Abstract

We prove the existence and uniqueness of Levi-Civita connections for strongly sigma-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 references 9 and 10. Star-compatibility of Levi-Civita connections for bilinear pseudo-Riemannian metrics are also discussed.

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Jyotishman Bhowmick, Debashish Goswami, Soumalya Joardar. 2016-06-27. A new look at Levi-Civita connection in noncommutative geometry. https://arxiv.org/abs/1606.08142

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