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A new look at Levi-Civita connection in ...
Bhowmick, Jyotishman...
A new look at Levi-Civita connection in noncommutative geometry by Bhowmick, Jyotishman ( Author )
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08-08-2023
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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Article
pdf
30.00 KB
English
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MYR 0.01
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http://arxiv.org/abs/1606.08142
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