10 citations · 23 across the 6 of their papers we have counts for
Showing 2004 · math.DGShow all
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math.DG2004★ 10 cited
Ricci curvature for metric-measure spaces via optimal transport
John Lott, Cedric Villani
We define a notion of a measured length space X having nonnegative N-Ricci curvature, for N finite, or having infinity-Ricci curvature bounded below by K, for K a real number. The…
math.DG2004★ 3 cited
Local index theory over foliation groupoids
Alexander Gorokhovsky, John Lott
We give a superconnection proof of an index theorem for a Dirac-type operator that is invariant with respect to the action of a foliation groupoid.
math.DG2004★ 1 cited
Limit sets as examples in noncommutative geometry
John Lott
The fundamental group of a hyperbolic manifold acts on the limit set, giving rise to a cross-product C^* algebra. We construct nontrivial K-cycles for the cross-product algebra, th…