List of works - Nicola Gigli

A Differential Perspective on Gradient Flows on $$\textsf {CAT} (\kappa )$$-Spaces and Applications

scientific article published in 2021

A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

scientific article published in August 2010

Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds

scientific article published in 2015

Differential of metric valued Sobolev maps

scientific article

Differential structure associated to axiomatic Sobolev spaces

scientific article

Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric

scientific article published in 2012

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below

scientific article

From log Sobolev to Talagrand: A quick proof

scientific article published in 2013

Infinitesimal Hilbertianity of Locally $$\mathrm{CAT}(\kappa )$$-Spaces

article by Simone Di Marino et al published 6 November 2020 in Journal of Geometric Analysis

Korevaar–Schoen’s energy on strongly rectifiable spaces

scientific article published in 2021

Local semiconvexity of Kantorovich potentials on non-compact manifolds

scientific article published on 31 March 2010

Metric measure spaces with Riemannian Ricci curvature bounded from below

scientific article published in 2014

On the notion of parallel transport on RCD spaces

scientific article

Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below

article by Nicola Gigli et al published 30 November 2015 in Journal of Geometric Analysis

Quasi-Continuous Vector Fields on RCD Spaces

scientific article

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

scientific article

The continuity equation on metric measure spaces

scientific article published in 2014

List of works by Nicola Gigli

A Differential Perspective on Gradient Flows on $$\textsf {CAT} (\kappa )$$-Spaces and Applications

A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds

Differential of metric valued Sobolev maps

Differential structure associated to axiomatic Sobolev spaces

Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below

From log Sobolev to Talagrand: A quick proof

Infinitesimal Hilbertianity of Locally $$\mathrm{CAT}(\kappa )$$-Spaces

Korevaar–Schoen’s energy on strongly rectifiable spaces

Local semiconvexity of Kantorovich potentials on non-compact manifolds

Metric measure spaces with Riemannian Ricci curvature bounded from below

On the notion of parallel transport on RCD spaces

Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below

Quasi-Continuous Vector Fields on RCD Spaces

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

The continuity equation on metric measure spaces