Levi-Civita connections for a class of spectral triples

@article{Bhowmick2018LeviCivitaCF,
  title={Levi-Civita connections for a class of spectral triples},
  author={J. Bhowmick and Debashish Goswami and S. Mukhopadhyay},
  journal={Letters in Mathematical Physics},
  year={2018},
  volume={110},
  pages={835-884}
}
  • J. Bhowmick, Debashish Goswami, S. Mukhopadhyay
  • Published 2018
  • Physics, Mathematics
  • Letters in Mathematical Physics
  • We give a new definition of Levi-Civita connection for a noncommutative pseudo-Riemannian metric on a noncommutative manifold given by a spectral triple. We prove the existence–uniqueness result for a class of modules of one-forms over a large class of noncommutative manifolds, including the matrix geometry of the fuzzy 3-sphere, the quantum Heisenberg manifolds and Connes–Landi deformations of spectral triples on the Connes–Dubois- Violette–Rieffel deformation of a compact manifold equipped… CONTINUE READING
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