Levi-Civita's Theorem for Noncommutative Tori

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Connes A., Tretkoff P., 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,

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Fathizadeh F., Khalkhali M., The Gauss–Bonnet theorem for noncommutative two tori with a general conformal structure,

Original

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Fathizadeh F., Khalkhali M., Scalar curvature for the noncommutative two torus,

Original

2013

Closest in time.

Connes A., Moscovici H., Modular curvature for noncommutative two-tori,

Original

2014

Closest in time.