On the Koszul formula in noncommutative geometry

J. Arnlind and G. Landi: Projections, modules and connections for the noncommutative cylinder, arXiv: 1901.07276

1901

Earlier work this paper cites.

F. Fathizadeh, M. Khalkhali: Curvature in Noncommutative Geometry, arXiv:1901.07438

Original

1901

Earlier work this paper cites.

J. Arnlind and A.T. Norkvist: Noncommutative minimal embeddings and morphisms of pseudo-Riemannian calculi, arXiv: 1906.03885

1906

Earlier work this paper cites.

G. Landi and G. Marmo: Einstein Algebras and Algebraic Kaluza–Klein Monopole, Phys. Lett. 210B

1988

Earlier work this paper cites.

A. Connes: Noncommutative geometry. Academic Press, San Diego, CA, 1994

1994

Earlier work this paper cites.

M. Dubois-Violette and P.W. Michor: Derivation et calcul differentiel non commutatif II, C. R. Acad. Sci. Paris Ser. I Math, 319

1994

Earlier work this paper cites.

G. Landi, A.V. Nguyen and K.C. Wali: Gravity and Electromagnetism in Noncommutative Geometry, Phys. Lett. B326

1994

Earlier work this paper cites.

J. Cuntz and D. Quillen: Algebra extensions and nonsingularity, J. Amer. Math. Soc. 8

1995

Earlier work this paper cites.

L. Dabrowski, P.M. Hajac, G. Landi and P. Siniscalco: Metrics and pairs of left and right connections on bimodules, J. Math. Phys. 37

1996

Cited alongside, same era.

M. Dubois-Violette and P.W. Michor: Connections on central bimodules, J. Geom. Phys. 20

1996

Cited alongside, same era.

M. Skeide: Hilbert modules in quantum electrodynamics and quantum probability. Comm. Math. Phys. 192

1998

Cited alongside, same era.

J. Frohlich, O. Grandjean and A. Recknagel: Supersymmetric Quantum Theory and Non-Commutative Geometry, Commun. Math. Phys 203

1999

Cited alongside, same era.

J. Bhowmick, D. Goswami and G. Landi: Levi-Civita connections and vector fields for noncommutative differential calculi, arXiv: 2001.01545

2001

Cited alongside, same era.

A. Connes and P. Tretkoff: The Gauss-Bonnet theorem for the noncommutative two torus, in Noncommutative Geometry, Arithmetic, and Related Topics, Johns Hopkins Univ. Press, Baltimore, MD, 2011, 141–158

2011

Later among the works it cites.

J. Rosenberg: Levi-Civita’s Theorem for Noncommutative Tori, SIGMA 9

2013

Later among the works it cites.

A. Connes and H. Moscovici: Modular curvature for noncommutative two-tori, J. Amer. Math. Soc. 27

2014

Later among the works it cites.

J. Arnlind and M. Wilson: Riemannian curvature of the noncommutative 3-sphere, J. Noncomm. Geom. 11

2017

Later among the works it cites.

M.A. Peterka and A.J.L. Sheu: On Noncommutative Levi-Civita Connections, International Journal of Geometric Methods in Modern Physics 14

2017

Later among the works it cites.