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-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…