51 citations · 597 across the 45 of their papers we have counts for
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math-ph2012★ 23 cited
Metric Properties of the Fuzzy Sphere
Francesco D'Andrea, Fedele Lizzi, Joseph C. Varilly
The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form…
math.QA2012
Geometry of Quantum Projective Spaces
Francesco D'Andrea, Giovanni Landi
In recent years, several quantizations of real manifolds have been studied, in particular from the point of view of Connes' noncommutative geometry. Less is known for complex nonco…
math-ph2012★ 18 cited
On Pythagoras' theorem for products of spectral triples
Francesco D'Andrea, Pierre Martinetti
We discuss a version of Pythagoras theorem in noncommutative geometry. Usual Pythagoras theorem can be formulated in terms of Connes' distance, between pure states, in the product…