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Gigli N. The splitting theorem in non-smooth context.; 2013. Available from: http://preprints.sissa.it/handle/1963/35306
Gigli N. An overview of the proof of the splitting theorem in spaces with non-negative ricci curvature. ANALYSIS AND GEOMETRY IN METRIC SPACES [Internet]. 2014 ;2:169–213. Available from: https://arxiv.org/abs/1305.4854
Gigli N, Mondino A, Semola D. On the notion of Laplacian bounds on RCD spaces and applications. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2024 :1–12. Available from: https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2023-16550-8/S0002-9939-2023-16550-8.pdf
Gigli N, Tamanini L. Second order differentiation formula on RCD(K, N) spaces. Rendiconti Lincei-Matematica e Applicazioni. 2018 ;29:377–386.
Gigli N, Pasqualetto E, Soultanis E. Differential of metric valued Sobolev maps. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2020 ;278:1–18. Available from: https://arxiv.org/abs/1807.10063v1
Gigli N, Marconi F. A general splitting principle on RCD spaces and applications to spaces with positive spectrum.; 2023.
Gigli N, Rigoni C. Recognizing the flat torus among RCD*(0 , N) spaces via the study of the first cohomology group. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2018 ;57:1–39. Available from: https://link.springer.com/article/10.1007%2Fs00526-018-1377-z
Gigli N, Ledoux M. From log Sobolev to Talagrand: a quick proof. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2013 ;33:1927–1935.
Gigli N, Pasqualetto E. Differential structure associated to axiomatic Sobolev spaces. Expositiones Mathematicae [Internet]. 2019 . Available from: http://www.sciencedirect.com/science/article/pii/S0723086918300975
Gigli N, Rigoni C. Recognizing the flat torus among RCD*(0,N) spaces via the study of the first cohomology group. Calculus of Variations and Partial Differential Equations [Internet]. 2018 ;57:104. Available from: https://doi.org/10.1007/s00526-018-1377-z
Gigli N, Mosconi S. The abstract Lewy-Stampacchia inequality and applications. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES [Internet]. 2015 ;104:258–275. Available from: https://arxiv.org/abs/1401.4911
Gigli N, Mondino A. A PDE approach to nonlinear potential theory. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. 2013 ;100:505–534.
Gigli N, Tyulenev A. Korevaar–Schoen’s directional energy and Ambrosio’s regular Lagrangian flows. MATHEMATISCHE ZEITSCHRIFT. 2021 ;298:1221–1261.
Gigli N. Nonsmooth differential geometry : an approach tailored for spaces with Ricci curvature bounded from below. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2018 ;251:1–174. Available from: http://www.ams.org/books/memo/1196/
Gigli N, Nobili F. A Differential Perspective on Gradient Flows on CAT(K)-Spaces and Applications. [Internet]. 2021 ;31(12):11780 - 11818. Available from: https://doi.org/10.1007/s12220-021-00701-5
Gigli N. Optimal maps in non branching spaces with Ricci curvature bounded from below. GEOMETRIC AND FUNCTIONAL ANALYSIS. 2012 ;22:990–999.
Gigli N, Otto F. Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2013 ;47:181–206. Available from: http://cvgmt.sns.it/paper/143/
Gigli N. Second Order Analysis on (P-2(M), W-2). MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2012 ;216:1–173. Available from: http://www.ams.org/books/memo/1018/
Gigli N, Nobili F. A first-order condition for the independence on p of weak gradients. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2022 ;283:1–52. Available from: https://arxiv.org/abs/2112.12849
Gigli N, Mass J. Gromov-Hausdorff convergence of discrete transportation metrics. SIAM JOURNAL ON MATHEMATICAL ANALYSIS [Internet]. 2013 ;45:879–899. Available from: http://cdsads.u-strasbg.fr/abs/2012arXiv1207.6501G
Gigli N. Weak closure of geodesically convex subsets of Probability measures. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO [Internet]. 2009 . Available from: http://cvgmt.sns.it/paper/599/
Gigli N, Figalli A. Local semiconvexity of Kantorovich potentials on non-compact manifolds. ESAIM. COCV. 2011 ;17:648–653.
Gigli N. On the inverse implication of Brenier-McCann theorems and the structure of P_2(M). METHODS AND APPLICATIONS OF ANALYSIS [Internet]. 2011 ;18:127–158. Available from: http://intlpress.com/site/pub/pages/journals/items/maa/content/vols/0018/0002/index.html
Gigli N, Tamanini L. Second order differentiation formula on compact RCD*(K,N) spaces.; 2017.
Gigli N, Ohta Sichi. First variation formula in Wasserstein spaces over compact Alexandrov spaces. CANADIAN MATHEMATICAL BULLETIN. 2012 ;55:723–735.

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