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Filters: Author is Nicola Gigli  [Clear All Filters]
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 ;57:1–39. 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, 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.
Gigli N, Tamanini L. Second order differentiation formula on RCD(K,N) spaces. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI [Internet]. 2018 ;29:377–386. Available from: https://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=29&iss=2&rank=10
Gigli N, Han B-X. Sobolev spaces on warped products. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2018 ;275:2059–2095. Available from: https://www.sciencedirect.com/science/article/pii/S0022123618301381?via%3Dihub
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. 2019 ;38:480–495.
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.
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
Debin C, Gigli N, Pasqualetto E. Quasi-continuous vector fields on RCD spaces.; 2019.
Gigli N. Riemann curvature tensor on RCD spaces and possible applications. COMPTES RENDUS MATHÉMATIQUE. 2019 ;357:613–619.
2020
Gigli N, Tamanini L. Benamou–Brenier and duality formulas for the entropic cost on RCD∗(K, N) spaces. PROBABILITY THEORY AND RELATED FIELDS [Internet]. 2020 ;176:1–34. Available from: https://arxiv.org/abs/1805.06325v1
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
Di Marino S, Gigli N, Pratelli A. Global Lipschitz extension preserving local constants. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI [Internet]. 2020 ;31:757–765. Available from: https://arxiv.org/abs/2007.10011
Gigli N, Pasqualetto E. Lectures on Nonsmooth Differential Geometry. Cham: Springer; 2020 pp. 1–204. Available from: https://books.sissa.it/libero/WebOpac.cls?VERSION=2&ACTION=DISPLAY&RSN=49974&DATA=DLS&TOKEN=rnz5TAi0pF7744&Z=1&SET=1
Gigli N, Pasqualetto E. On the notion of parallel transport on RCD spaces. REVISTA MATEMATICA IBEROAMERICANA. 2020 ;36:571–609.
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.
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
Gigli N, Nobili F. A Differential Perspective on Gradient Flows on CAT(κ) -Spaces and Applications. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2021 ;31:11780–11818. Available from: https://arxiv.org/abs/2012.12952
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/
Cavalletti F, Gigli N, Santarcangelo F. Displacement convexity of Entropy and the distance cost Optimal Transportation. ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE. [Internet]. 2021 ;30:411–427. Available from: https://arxiv.org/abs/2005.00243
Gigli N, Nobili F. A first-order condition for the independence on p of weak gradients. 2021 .
Di Marino S, Gigli N, Pasqualetto E, Soultanis E. Infinitesimal Hilbertianity of Locally CAT (κ) -Spaces. THE JOURNAL OF GEOMETRIC ANALYSIS. 2021 ;31:7621–7685.

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