Geometry of Metric groups

Project Information

GeoMeG

Grant agreement ID: 713998

DOI

10.3030/713998

Project closed

EC signature date 7 March 2017

Start date 1 August 2017

End date 31 July 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 248 560,00

EU contribution

€ 1 248 560,00

Coordinated by

UNIVERSITE DE FRIBOURG
Switzerland

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 (39)

Fine properties of functions with bounded variation in Carnot-Carathéodory spaces

Author(s): Sebastiano Don, Davide Vittone
Published in: Journal of Mathematical Analysis and Applications, Issue 479/1, 2019, Page(s) 482-530, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2019.06.035

Sets with constant normal in Carnot groups: properties and examples

Author(s): Costante Bellettini; Enrico Le Donne
Published in: COMMENTARII MATHEMATICI HELVETICI, Issue 43, 2021, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/510

Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds

Author(s): Enrico Le Donne, Danka Lučić, Enrico Pasqualetto
Published in: Potential Analysis, Issue 59, 2023, Page(s) 349–374, ISSN 0926-2601
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11118-021-09971-8

Conformality and Q-harmonicity in sub-Riemannian manifolds

Author(s): Luca Capogna, Giovanna Citti , Enrico Le Donne , Alessandro Ottazzi
Published in: Journal de Mathématiques Pures et Appliquées, Issue 122, 2019, Page(s) 67-124, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2017.12.006

A note on topological dimension, Hausdorff measure, and rectifiability

Author(s): Guy C. David, Enrico Le Donne
Published in: Proceedings of the American Mathematical Society, Issue 148/10, 2020, Page(s) 4299-4304, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15051

A Cornucopia of Carnot groups in Low Dimensions

Author(s): Enrico Le Donne; Francesca Tripaldi
Published in: Analysis and Geometry in Metric Spaces, Issue 10, 2022, ISSN 2299-3274
Publisher: De Gruyter Open Access
DOI: 10.1515/agms-2022-0138

Polynomial and horizontally polynomial functions on Lie groups

Author(s): Gioacchino Antonelli; Enrico Le Donne
Published in: Annali di Matematica Pura ed Applicata, Issue 201, 2022, ISSN 0373-3114
Publisher: Nicola Zanichelli
DOI: 10.1007/s10231-022-01192-z

Metric equivalences of Heintze groups and applications to classifications in low dimension

Author(s): Ville Kivioja; Enrico Le Donne; Sebastiano Nicolussi Golo
Published in: Illinois J. Math, Issue 66, 2022, ISSN 0019-2082
Publisher: University of Illinois at Urbana-Champaign, Department of Mathematics
DOI: 10.1215/00192082-9702295

On sets with unit Hausdorff density in homogeneous groups

Author(s): Julia Antoine, Andrea Merlo
Published in: Forum of Mathematics, Sigma, Issue 11, 2023, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2023.31

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

Author(s): Enrico Le Donne
Published in: Analysis and Geometry in Metric Spaces, 2017, ISSN 2299-3274
Publisher: De Gruyter Open Access
DOI: 10.1515/agms-2017-0007

Bicycle paths, elasticae and sub-Riemannian geometry

Author(s): A. A. Ardentov; Gil Bor; Enrico Le Donne; Enrico Le Donne; Richard Montgomery; Yuri L. Sachkov
Published in: Nonlinearity, Issue 34, 2021, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abf5bf

Toward a quasi-Möbius characterization of invertible homogeneous metric spaces

Author(s): David Freeman, Enrico Le Donne
Published in: Revista Matemática Iberoamericana, Issue 37, 2021, Page(s) 671–722, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1211

The Sard problem in step 2 and in filiform Carnot groups

Author(s): Francesco Boarotto; Luca Nalon; Davide Vittone
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 75, 2022, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.48550/arxiv.2203.16360

A rectifiability result for finite-perimeter sets in Carnot groups

Author(s): Sebastiano Don, Enrico Le Donne, Terhi Moisala, Davide Vittone
Published in: Indiana University Mathematics Journal, Issue 71, 2022, ISSN 0022-2518
Publisher: Indiana University Press
DOI: 10.1512/iumj.2022.71.9028

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

Author(s): Katrin Fässler, Enrico Le Donne
Published in: Geometriae Dedicata, Issue 210, 2021, Page(s) 27–42, ISSN 0046-5755
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10711-020-00532-8

Sublinear quasiconformality and the large-scale geometry of Heintze groups

Author(s): Gabriel Pallier
Published in: Conformal Geometry and Dynamics of the American Mathematical Society, Issue 24/7, 2020, Page(s) 131-163, ISSN 1088-4173
Publisher: American Mathematical Society
DOI: 10.1090/ecgd/352

Periodic Controls in Step 2 Strictly Convex Sub-Finsler Problems

Author(s): Yuri L. Sachkov
Published in: Regular and Chaotic Dynamics, Issue 25, 2020, ISSN 1560-3547
Publisher: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354720010050

Carnot rectifiability of sub-Riemannian manifolds with constant tangent

Author(s): Enrico Le Donne; Robert Young
Published in: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Issue 18, 2022, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.201902_005

Communications in Analysis and Geometry

Author(s): Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti, Davide Vittone
Published in: Communications in Analysis and Geometry, 2018, ISSN 1019-8385
Publisher: International Press
DOI: 10.4310/cag.2018.v26.n4.a3

Metric Lie groups admitting dilations

Author(s): Enrico Le Donne, Sebastiano Nicolussi Golo
Published in: Arkiv för Matematik, Issue 59, 2021, ISSN 0004-2080
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/arkiv.2021.v59.n1.a5

Blowups and blowdowns of geodesics in Carnot groups

Author(s): Eero Hakavuori; Enrico Le Donne
Published in: Journal of Differential Geometry, Issue 123(2), 2023, Page(s) 267-310, ISSN 0022-040X
Publisher: International Press
DOI: 10.4310/jdg/1680883578

Space of signatures as inverse limits of Carnot groups

Author(s): Enrico Le Donne, Roger Züst
Published in: ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), Issue 37, 2021, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2021040

Sub-Finsler Geodesics on the Cartan Group

Author(s): Andrei A. Ardentov, Enrico Le Donne, Yuri L. Sachkov
Published in: Regular and Chaotic Dynamics, Issue 24/1, 2019, Page(s) 36-60, ISSN 1560-3547
Publisher: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354719010027

Extending an Example by Colding and Minicozzi

Author(s): Lorenzo Ruffoni, Francesca Tripaldi
Published in: The Journal of Geometric Analysis, Issue 30/1, 2020, Page(s) 1028-1041, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00177-4

A Newman property for BLD-mappings

Author(s): Rami Luisto
Published in: Conformal Geometry and Dynamics of the American Mathematical Society, Issue 23/8, 2019, Page(s) 135-146, ISSN 1088-4173
Publisher: American Mathematical Society
DOI: 10.1090/ecgd/338

Singular quasisymmetric mappings in dimensions two and greater

Author(s): Matthew Romney
Published in: Advances in Mathematics, Issue 351, 2019, Page(s) 479-494, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2019.05.022

Conformal equivalence of visual metrics in pseudoconvex domains

Author(s): Luca Capogna, Enrico Le Donne
Published in: Mathematische Annalen, 2020, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-020-01962-1

Smooth surjections and surjective restrictions

Author(s): Richard M. Aron, Jesús Angel Jaramillo, Enrico Le Donne
Published in: Annales Academiae Scientiarum Fennicae Mathematica, Issue 42, 2017, Page(s) 525-534, ISSN 1239-629X
Publisher: Suomalainen Tiedeakatemia/Academia Scientiarum Fennica
DOI: 10.5186/aasfm.2017.4237

Universal differentiability sets and maximal directional derivatives in Carnot groups

Author(s): Enrico Le Donne, Andrea Pinamonti, Gareth Speight
Published in: Journal de Mathématiques Pures et Appliquées, Issue 121, 2019, Page(s) 83-112, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2017.11.006

Isometric embeddings of snowflakes into finite-dimensional Banach spaces

Author(s): Enrico Le Donne, Tapio Rajala, Erik Walsberg
Published in: Proceedings of the American Mathematical Society, Issue 146/2, 2018, Page(s) 685-693, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/13778

Restricting open surjections

Author(s): Jesús A. Jaramillo, Enrico Le Donne, Tapio Rajala
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Issue 113/3, 2019, Page(s) 1795-1798, ISSN 1578-7303
Publisher: Real Academia de Ciencias Exactas, Fisicas y Naturales
DOI: 10.1007/s13398-018-0579-8

Reciprocal lower bound on modulus of curve families in metric surfaces

Author(s): Kai Rajala, Matthew Romney
Published in: Annales Academiae Scientiarum Fennicae Mathematica, Issue 44/2, 2019, Page(s) 681-692, ISSN 1239-629X
Publisher: Suomalainen Tiedeakatemia/Academia Scientiarum Fennica
DOI: 10.5186/aasfm.2019.4442

Infinite-Dimensional Carnot Groups and Gâteaux Differentiability

Author(s): Enrico Le Donne, Sean Li, Terhi Moisala
Published in: The Journal of Geometric Analysis, 2019, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00324-x

Infinite Geodesics and Isometric Embeddings in Carnot Groups of Step 2

Author(s): Eero Hakavuori
Published in: SIAM Journal on Control and Optimization, Issue 58/1, 2020, Page(s) 447-461, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1271166

The case of equality in the dichotomy of Mohammadi–Oh

Author(s): Laurent Dufloux
Published in: Journal of Fractal Geometry, Issue 6/4, 2019, Page(s) 343-366, ISSN 2308-1309
Publisher: EMS
DOI: 10.4171/jfg/80

Besicovitch Covering Property on graded groups and applications to measure differentiation

Author(s): Enrico Le Donne and Séverine Rigot
Published in: Journal für die reine und angewandte Mathematik, Issue 750, 2019, Page(s) 241-297, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2016-0051

Semigenerated Carnot algebras and applications to sub-Riemannian perimeter

Author(s): Enrico Le Donne, Terhi Moisala
Published in: Mathematische Zeitschrift, Issue 299, 2021, Page(s) 2257–2285, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-021-02744-4

Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces

Author(s): Gioacchino Antonelli, Enrico Le Donne
Published in: Nonlinear Analysis, Issue 200, 2020, Page(s) 111983, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.111983

Nilpotent Groups and Bi-Lipschitz Embeddings Into L1

Author(s): Eriksson-Bique, Sylvester; Gartland, Chris; Le Donne, Enrico; Naples, Lisa; Nicolussi Golo, Sebastiano
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac264