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Nicola Gigli

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2024
Gennaioli L, Gigli N, Zhang H-C, Zhu X-P. Comments on the regularity of harmonic maps between singular spaces.; 2024.
2023
Gigli N, Marconi F. A general splitting principle on RCD spaces and applications to spaces with positive spectrum.; 2023.
2021
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
Cavalletti F, Gigli N, Santarcangelo F. Displacement convexity of Entropy and the distance cost Optimal Transportation. Annales de la Faculté des sciences de Toulouse : Mathématiques [Internet]. 2021 ;Ser. 6, 30:411–427. Available from: https://afst.centre-mersenne.org/articles/10.5802/afst.1679/
Gigli N, Nobili F. A first-order condition for the independence on p of weak gradients. 2021 .
Gigli N, Violo IYuri. Monotonicity formulas for harmonic functions in RCD(0,N) spaces. 2021 .
Caputo E, Gigli N, Pasqualetto E. Parallel transport on non-collapsed $\mathsfRCD(K,N)$ spaces. 2021 .
2019
Gigli N, Tamanini L. Benamou–Brenier and duality formulas for the entropic cost on RCD*(K,N) spaces. Probability Theory and Related Fields [Internet]. 2019 . Available from: https://doi.org/10.1007/s00440-019-00909-1
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. A Note About the Strong Maximum Principle on RCD Spaces. Canadian Mathematical Bulletin. 2019 ;62:259–266.
Debin C, Gigli N, Pasqualetto E. Quasi-continuous vector fields on RCD spaces.; 2019.
2018
Gigli N, Pasqualetto E, Soultanis E. Differential of metric valued Sobolev maps.; 2018.
Gigli N, Pasqualetto E. On the notion of parallel transport on RCD spaces.; 2018.
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, Tamanini L. Second order differentiation formula on RCD(K, N) spaces. Rendiconti Lincei-Matematica e Applicazioni. 2018 ;29:377–386.
Gigli N, Tamanini L. Second order differentiation formula on RCD*(K,N) spaces.; 2018.
2017
Antonini P, De Philippis G, Gigli N. The injectivity radius of Lie manifolds. ArXiv e-prints [Internet]. 2017 . Available from: https://arxiv.org/pdf/1707.07595.pdf
Gigli N, Tamanini L. Second order differentiation formula on compact RCD*(K,N) spaces.; 2017.
2016
Gigli N, Pasqualetto E. Behaviour of the reference measure on RCD spaces under charts.; 2016.
Gigli N, Pasqualetto E. Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces.; 2016.
2013
Gigli N. The splitting theorem in non-smooth context.; 2013. Available from: http://preprints.sissa.it/handle/1963/35306

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