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arxiv: 1107.4788 · v1 · pith:FCE35ULBnew · submitted 2011-07-24 · ✦ hep-th · math-ph· math.MP

The Ricci flow on noncommutative two-tori

classification ✦ hep-th math-phmath.MP
keywords noncommutativeflowriccitoriconstructeigenfunctioneigenvaluesformulation
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In this paper we construct a version of Ricci flow for noncommutative 2-tori, based on a spectral formulation in terms of the eigenvalues and eigenfunction of the Laplacian and recent results on the Gauss-Bonnet theorem for noncommutative tori.

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