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Journal Article
Ambrosio L, Gigli N, Savaré G. Metric measure spaces with Riemannian Ricci curvature bounded from below. DUKE MATHEMATICAL JOURNAL [Internet]. 2014 ;163:1405–1490. Available from: https://arxiv.org/abs/1109.0222
Gigli N, Violo IY. Monotonicity Formulas for Harmonic Functions in RCD (0 , N) Spaces. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2023 ;33:1–89. Available from: https://arxiv.org/abs/2101.03331
Figalli A, Gigli N. A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES [Internet]. 2010 ;94:107–130. Available from: https://doi.org/10.1016/j.matpur.2009.11.005
De Philippis G, Gigli N. Non-collapsed spaces with Ricci curvature bounded from below. JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES [Internet]. 2018 ;5:613–650. Available from: https://jep.centre-mersenne.org/item/JEP_2018__5__613_0/
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/
Gennaioli L, Gigli N. A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces. Canadian Mathematical Bulletin. 2024 ;67:49–59.
Gigli N, Gennaioli L. A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces. CANADIAN MATHEMATICAL BULLETIN [Internet]. 2024 :1–9. Available from: https://arxiv.org/abs/2210.07010
Gigli N, Rigoni C. A Note about the Strong Maximum Principle on RCD Spaces. CANADIAN MATHEMATICAL BULLETIN [Internet]. 2019 ;62:259–266. Available from: https://arxiv.org/abs/1706.01998
Gigli N, Rigoni C. A Note About the Strong Maximum Principle on RCD Spaces. Canadian Mathematical Bulletin. 2019 ;62:259–266.
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, Pasqualetto E. On the notion of parallel transport on RCD spaces. REVISTA MATEMATICA IBEROAMERICANA. 2020 ;36:571–609.
Gigli N, Rajala T, Sturm KT. Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2016 ;26:2914–2929. Available from: http://cdsads.u-strasbg.fr/abs/2013arXiv1305.4849G
Gigli N. Optimal maps in non branching spaces with Ricci curvature bounded from below. GEOMETRIC AND FUNCTIONAL ANALYSIS. 2012 ;22:990–999.
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, Rigoni C. Partial derivatives in the nonsmooth setting. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2022 ;283:1–39. Available from: https://arxiv.org/abs/2012.03602
Gigli N, Mondino A. A PDE approach to nonlinear potential theory. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. 2013 ;100:505–534.
Ambrosio L, Di Marino S, Gigli N. Perimeter as relaxed Minkowski content in metric measure spaces. NONLINEAR ANALYSIS [Internet]. 2017 ;153:78–88. Available from: https://doi.org/10.1016/j.na.2016.03.010
Debin C, Gigli N, Pasqualetto E. Quasi-Continuous Vector Fields on RCD Spaces. POTENTIAL ANALYSIS [Internet]. 2021 ;54:183–211. Available from: https://arxiv.org/abs/1903.04302
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, 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. On the regularity of harmonic maps from RCD(K,N) to CAT(0) spaces and related results. Ars Inveniendi Analytica [Internet]. 2023 . Available from: https://arxiv.org/abs/2204.04317
Gigli N. Riemann curvature tensor on RCD spaces and possible applications. COMPTES RENDUS MATHÉMATIQUE. 2019 ;357:613–619.
Ambrosio L, Gigli N, Mondino A, Rajala T. Riemannian Ricci curvature lower bounds in metric measure spaces with sigma-finite measure. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2015 ;367:4661–4701. Available from: https://arxiv.org/abs/1207.4924
Gigli N, Ketterer C, Kuwada K, Ohta S-I. Rigidity for the spectral gap on rcd(K, ∞)-spaces. AMERICAN JOURNAL OF MATHEMATICS. 2020 ;142:1559–1594.
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/

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