45 citations · 323 across the 58 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.QA2018★ 6 cited
Spectral geometry of functional metrics on noncommutative tori
Asghar Ghorbanpour, Masoud Khalkhali
We introduce a new family of metrics, called functional metrics, on noncommutative tori and study their spectral geometry. We define a class of Laplace type operators for these met…
math.QA2018★ 5 cited
The Ricci Curvature for Noncommutative Three Tori
Rui Dong, Asghar Ghorbanpour, Masoud Khalkhali
We compute the Ricci curvature of a curved noncommutative three torus. The computation is done both for conformal and non-conformal perturbations of the flat metric. To perturb the…