Fabio Cavalletti

About Fabio Cavalletti

Fabio Cavalletti, With an exceptional h-index of 16 and a recent h-index of 16 (since 2020), a distinguished researcher at Scuola Internazionale Superiore di Studi Avanzati,

His recent articles reflect a diverse array of research interests and contributions to the field:

A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

Quantitative Obata’s theorem

A proof of the Hamiltonian Thom isotopy Lemma

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds

Isoperimetric inequality in noncompact ???????????? spaces

Rigidities of isoperimetric inequality under nonnegative Ricci curvature

Optimal transport between algebraic hypersurfaces

The globalization theorem for the curvature-dimension condition

Fabio Cavalletti Information

University

Position

___

Citations(all)

1146

Citations(since 2020)

862

Cited By

620

hIndex(all)

16

hIndex(since 2020)

16

i10Index(all)

23

i10Index(since 2020)

21

Email

University Profile Page

Google Scholar

Top articles of Fabio Cavalletti

Title

Journal

Author(s)

Publication Date

A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds

arXiv preprint arXiv:2401.03949

Fabio Cavalletti

Andrea Mondino

2024/1/8

Quantitative Obata’s theorem

Analysis & PDE

Fabio Cavalletti

Andrea Mondino

Daniele Semola

2023/8/23

A proof of the Hamiltonian Thom isotopy Lemma

arXiv preprint arXiv:2307.06826

Paolo Antonini

Fabio Cavalletti

Antonio Lerario

2023/7/13

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds

Fabio Cavalletti

Andrea Mondino

2022/11

Isoperimetric inequality in noncompact ???????????? spaces

Proceedings of the American Mathematical Society

Fabio Cavalletti

Davide Manini

2022/8

Rigidities of isoperimetric inequality under nonnegative Ricci curvature

arXiv preprint arXiv:2207.03423

Fabio Cavalletti

Davide Manini

2022/7/7

Optimal transport between algebraic hypersurfaces

arXiv preprint arXiv:2212.10274

Paolo Antonini

Fabio Cavalletti

Antonio Lerario

2022/12/20

The globalization theorem for the curvature-dimension condition

Inventiones mathematicae

Fabio Cavalletti

Emanuel Milman

2021/10

Independence of synthetic curvature dimension conditions on transport distance exponent

Transactions of the American Mathematical Society

Afiny Akdemir

Andrew Colinet

Robert McCann

Fabio Cavalletti

Flavia Santarcangelo

2021/8

Geometry of Grassmannians and optimal transport of quantum states

arXiv preprint arXiv:2104.02616

Paolo Antonini

Fabio Cavalletti

2021/4/6

Displacement convexity of Entropy and the distance cost Optimal Transportation

Annales de la Faculté des sciences de Toulouse: Mathématiques

Fabio Cavalletti

Nicola Gigli

Flavia Santarcangelo

2021

Indeterminacy estimates and the size of nodal sets in singular spaces

Advances in Mathematics

Fabio Cavalletti

Sara Farinelli

2021/10/8

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications

arXiv preprint arXiv:2004.08934

Fabio Cavalletti

Andrea Mondino

2020/4/19

Almost Euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds

International Mathematics Research Notices

Fabio Cavalletti

Andrea Mondino

2020/3/1

New formulas for the Laplacian of distance functions and applications

Analysis & PDE

Fabio Cavalletti

Andrea Mondino

2020/11/10

See List of Professors in Fabio Cavalletti University(Scuola Internazionale Superiore di Studi Avanzati)