Geometric analysis of sub-Riemannian spaces through interpolation inequalities

Project Information

GeoSub

Grant agreement ID: 945655

DOI

10.3030/945655

EC signature date 6 August 2020

Start date 1 January 2022

End date 31 December 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 171 465,00

EU contribution

€ 1 171 465,00

Coordinated by

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Italy

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (24)

Existence and uniqueness theorems for some semi-linear equations on locally finite graphs

Author(s): Andrea Pinamonti, Giorgio Stefani
Published in: Proceedings of the American Mathematical Society, 2022, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16046

H-type foliations

Author(s): Fabrice Baudoin; Erlend Grong; Luca Rizzi; Gianmarco Vega-Molino
Published in: Differential Geometry and its Applications, 2022, ISSN 0926-2245
Publisher: Elsevier BV
DOI: 10.1016/j.difgeo.2022.101952

Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces

Author(s): Luigi De Rosa, Marco Inversi, Giorgio Stefani
Published in: Journal of Differential Equations, 2023, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.05.019

Quantitative approximate definable choices

Author(s): Antonio Lerario, Luca Rizzi, Daniele Tiberio
Published in: Mathematische Annalen, 2025, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-025-03128-3

Relative heat content asymptotics for sub-Riemannian manifolds

Author(s): Andrei Agrachev, Luca Rizzi, Tommaso Rossi
Published in: Analysis & PDE, Issue 17, 2024, Page(s) 2997-3037, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2024.17.2997

Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula

Author(s): Giovanni E. Comi, Giorgio Stefani
Published in: Bollettino dell'Unione Matematica Italiana, 2023, ISSN 1972-6724
Publisher: Unione Matematica Italiana
DOI: 10.1007/s40574-023-00370-y

On the N-Cheeger problem for component-wise increasing norms

Author(s): Giorgio Saracco, Giorgio Stefani
Published in: Journal de Mathématiques Pures et Appliquées, Issue 189, 2024, Page(s) 103593, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2024.06.008

On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains

Author(s): Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Published in: Calculus of Variations and Partial Differential Equations, 2023, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-023-02432-7

Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries

Author(s): Luca Rizzi, Giorgio Stefani
Published in: Journal of Functional Analysis, 2023, ISSN 1096-0783
Publisher: Elsevier
DOI: 10.1016/j.jfa.2023.110099

Non-local BV functions and a denoising model with <i>L</i> ¹ fidelity

Author(s): Konstantinos Bessas, Giorgio Stefani
Published in: Advances in Calculus of Variations, 2024, ISSN 1864-8258
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2023-0082

On the convex components of a set in Rn

Author(s): Flavia Giannetti, Giorgio Stefani
Published in: Forum Mathèmaticum, 2023, ISSN 1435-5337
Publisher: De Gruyter
DOI: 10.1515/forum-2022-0203

On the Steiner property for planar minimizing clusters. The anisotropic case

Author(s): Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
Published in: Journal de l’École polytechnique — Mathématiques, Issue 10, 2023, Page(s) 989-1045, ISSN 2270-518X
Publisher: Les Éditions de l'École Polytechnique
DOI: 10.5802/jep.238

Existence and stability of weak solutions of the Vlasov–Poisson system in localised Yudovich spaces

Author(s): Gianluca Crippa, Marco Inversi, Chiara Saffirio, Giorgio Stefani
Published in: Nonlinearity, Issue 37, 2024, Page(s) 095015, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ad5bb3

On the monotonicity of weighted perimeters of convex bodies

Author(s): Giorgio Saracco, Giorgio Stefani
Published in: Mathematische Nachrichten, Issue 297, 2024, Page(s) 1444-1450, ISSN 0025-584X
Publisher: Wiley - V C H Verlag GmbbH & Co.
DOI: 10.1002/mana.202300280

Weyl's law for singular Riemannian manifolds

Author(s): Y. Chitour, D. Prandi, L. Rizzi
Published in: Journal de Mathématiques Pures et Appliquées, Issue 181, 2024, Page(s) 113-151, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2023.10.004

The Cheeger problem in abstract measure spaces

Author(s): Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco, Giorgio Stefani
Published in: Journal of the London Mathematical Society, Issue 109, 2024, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12840

Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry

Author(s): Samuël Borza, Wilhelm Klingenberg
Published in: Nonlinear Analysis, Issue 239, 2024, Page(s) 113421, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2023.113421

On the Steiner property for planar minimizing clusters. The isotropic case

Author(s): Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
Published in: Communications in Contemporary Mathematics, 2023, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199722500407

Full double Hölder regularity of the pressure in bounded domains

Author(s): Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad197

An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces

Author(s): Gianluca Crippa, Giorgio Stefani
Published in: Calculus of Variations and Partial Differential Equations, Issue 63, 2024, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-024-02750-4

Comparison theorems on H-type sub-Riemannian manifolds

Author(s): Fabrice Baudoin, Erlend Grong, Luca Rizzi, Sylvie Vega-Molino
Published in: Calculus of Variations and Partial Differential Equations, Issue 64, 2025, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-025-02992-w

Regularity and Continuity properties of the sub-Riemannian exponential map

Author(s): Samuël Borza, Wilhelm Klingenberg
Published in: Journal of Dynamical and Control Systems, 2023, ISSN 1573-8698
Publisher: Springer
DOI: 10.1007/s10883-022-09624-y

Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces

Author(s): Andreas Minne, David Tewodrose
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023, Page(s) 1-38, ISSN 0308-2105
Publisher: The RSE Scotland Foundation
DOI: 10.1017/prm.2023.118

Failure of the local chain rule for the fractional variation

Author(s): Giovanni E. Comi, Giorgio Stefani
Published in: Portugaliae Mathematica, 2023, ISSN 0032-5155
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/pm/2096

Other (15)

Properties of Lipschitz smoothing heat semigroups

Author(s): Nicolò De Ponti, Giorgio Stefani
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2403.00620

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler Heisenberg groups

Author(s): Samuël Borza, Kenshiro Tashiro
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2305.16722

Sard properties for polynomial maps in infinite dimension

Author(s): Antonio Lerario, Luca Rizzi, Daniele Tiberio
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2407.02296

On the lower bound of the curvature exponent on step-two Carnot groups

Author(s): Ye Zhang
Published in: 2025
Publisher: arxiv
DOI: 10.48550/arxiv.2504.20005

Lipschitz approximation of almost G-perimeter minimizing boundaries in plentiful groups

Author(s): Andrea Pinamonti, Giorgio Stefani, Simone Verzellesi
Published in: 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2312.15473

Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups

Author(s): Samuël Borza, Mattia Magnabosco, Tommaso Rossi, Kenshiro Tashiro
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2402.14779

Optimal transport on the sub-Lorentzian Heisenberg group

Author(s): Samuël Borza, Wilhelm Klingenberg, Patrick Wood
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2504.03062

Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures

Author(s): Samuël Borza, Luca Rizzi
Published in: 2025
Publisher: arxiv
DOI: 10.48550/arxiv.2505.09681

Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach

Author(s): Andrei A. Agrachev, Stefano Baranzini, Eugenio Bellini, Luca Rizzi
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2407.00770

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures

Author(s): Davide Barilari, Andrea Mondino, Luca Rizzi
Published in: 2022
Publisher: Arxiv
DOI: 10.48550/arxiv.2211.07762

Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups

Author(s): Tania Bossio, Luca Rizzi, Tommaso Rossi
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2408.16838

The Michor-Mumford conjecture in Hilbertian H-type groups

Author(s): Valentino Magnani, Daniele Tiberio
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2404.04583

Normal forms for the sub-Riemannian exponential map of $\mathbb{G}_\alpha$, $\mathrm{SU}(2)$, and $\mathrm{SL}(2)$

Author(s): Borza, Samuël
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2302.00524

Generic controllability of equivariant systems and applications to particle systems and neural networks

Author(s): Andrei Agrachev, Cyril Letrouit
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2404.08289

The curvature exponent of sub-Finsler Heisenberg groups

Author(s): Samuël Borza, Mattia Magnabosco, Tommaso Rossi, Kenshiro Tashiro
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2407.14619

Book chapters (1)

On Sets with Finite Distributional Fractional Perimeter

Author(s): Giovanni E. Comi, Giorgio Stefani
Published in: Springer INdAM Series, Anisotropic Isoperimetric Problems and Related Topics, 2024, Page(s) 127-150
Publisher: Springer Nature Singapore
DOI: 10.1007/978-981-97-6984-1_6

Conference proceedings (1)

Lagrangian stability for a system of non-local continuity equations under Osgood condition

Author(s): Marco Inversi, Giorgio Stefani
Published in: Contemporary Mathematics, New Trends in Sub-Riemannian Geometry, 2025, Page(s) 123-134
Publisher: American Mathematical Society
DOI: 10.1090/conm/809/16205