N. Gigli

activity

20102023

most citedMetric measure spaces with Riemannian Ricci curvature bounded from below

552 citations · 2k across the 45 of their papers we have counts for

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Showing 2018 · math.MGShow all

2 papers · 2 filters

math.MG2018

Infinitesimal Hilbertianity of locally CAT( $κ$ )-spaces

Simone Di Marino, Nicola Gigli, Enrico Pasqualetto +1

We show that, given a metric space $(Y, d)$ of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure $μ$ on $Y$ giving finite mass to bounded sets, t…

math.MG2018

On the notion of parallel transport on $RCD$ spaces

Nicola Gigli, Enrico Pasqualetto

We propose a general notion of parallel transport on $RCD$ spaces, prove an unconditioned uniqueness result and existence under suitable assumptions on the space.

Infinitesimal Hilbertianity of locally CAT(κ)-spaces

On the notion of parallel transport on RCD spaces

Infinitesimal Hilbertianity of locally CAT( $κ$ )-spaces

On the notion of parallel transport on $RCD$ spaces