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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 ;57:1–39. 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

2017

Gigli N, Pasqualetto E. Behaviour of the reference measure on RCD spaces under charts. COMMUNICATIONS IN ANALYSIS AND GEOMETRY. 2017 .

Ambrosio L, Gigli N, Savaré G. Diffusion, Optimal Transport and Ricci Curvature for Metric Measure Space. NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY [Internet]. 2017 ;3:19–28. Available from: http://www.ems-ph.org/journals/show_abstract.php?issn=1027-488X&vol=3&iss=103&rank=4

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

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

Gigli N, Tamanini L. Second order differentiation formula on compact RCD*(K,N) spaces.; 2017.

2016

Esselborn E, Gigli N, Otto F. Algebraic contraction rate for distance between entropy solutions of scalar conservation laws. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS [Internet]. 2016 ;435:1525–1551. Available from: https://doi.org/10.1016/j.jmaa.2015.11.027

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.

De Philippis G, Gigli N. From volume cone to metric cone in the nonsmooth setting. GEOMETRIC AND FUNCTIONAL ANALYSIS [Internet]. 2016 ;26:1526–1587. Available from: https://arxiv.org/abs/1512.03113

Gigli N, Han BXian. Independence on p of weak upper gradients on RCD spaces. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2016 ;271:1–11. Available from: https://doi.org/10.1016/j.jfa.2016.04.014

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

2015

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

Ambrosio L, Gigli N, Savaré G. Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds. ANNALS OF PROBABILITY [Internet]. 2015 ;43:339–404. Available from: https://arxiv.org/abs/1209.5786

Gigli N, Han BX. The continuity equation on metric measure spaces. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2015 ;53:149–177. Available from: https://arxiv.org/abs/1406.6350

Gigli N, Mondino A, Savaré G. Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY [Internet]. 2015 ;111:1071–1129. Available from: https://arxiv.org/abs/1311.4907

Gigli N. On the differential structure of metric measure spaces and applications. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2015 ;236:1–91. Available from: http://cvgmt.sns.it/paper/1800/

Gigli N, Mondino A, Rajala T. Euclidean spaces as weak tangents of infinitesimally Hilbertian metric mea- sure spaces with Ricci curvature bounded below. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. 2015 ;705:233–244.

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

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