Browsing Research Articles (Physics) by Subject "Matrix geometry"

Browsing Research Articles (Physics) by Subject "Matrix geometry"

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  • Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry 
    Duvenhage, Rocco de Villiers; Van Staden, Wernd; Wuzyk, Jan (Elsevier, 2018-02)
    We study a first variation formula for the eigenvalues of the Laplacian evolving under the Ricci flow in a simple example of a noncommutative matrix geometry, namely a finite dimensional representation of a noncommutative ...
  • Noncommutative Ricci flow in a matrix geometry 
    Duvenhage, Rocco de Villiers (Institute of Physics, 2014-01)
    We study noncommutative Ricci flow in a finite-dimensional representation of a noncommutative torus. It is shown that the flow exists and converges to the flat metric. We also consider the evolution of entropy and a ...