Sub-Riemannian Geodesics
Julkaistu sarjassa
JYU dissertationsTekijät
Päivämäärä
2019Tekijänoikeudet
© The Author & University of Jyväskylä
Julkaisija
Jyväskylän yliopistoISBN
978-951-39-7810-5ISSN Hae Julkaisufoorumista
2489-9003Julkaisuun sisältyy osajulkaisuja
- Artikkeli I: Hakavuori, E., & Le Donne, E. (2016). Non-minimality of corners in subriemannian geometry. Inventiones mathematicae, 206 (3), 693-704. DOI: 10.1007/s00222-016-0661-9
- Artikkeli II: Hakavuori, E. & Le Donne, E. (2018). Blowups and blowdowns of geodesics in Carnot groups. arXiv:1806.09375
- Artikkeli III: Hakavuori, E. (2019). Infinite geodesics and isometric embeddings in Carnot groups of step 2. arXiv:1905.03214
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- JYU Dissertations [806]
- Väitöskirjat [3498]
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Topics in the geometry of non-Riemannian lie groups
Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017) -
Assouad Dimension, Nagata Dimension, and Uniformly Close Metric Tangents
Le Donne, Enrico; Rajala, Tapio (Indiana University, 2015)We study the Assouad dimension and the Nagata dimension of metric spaces. As a general result, we prove that the Nagata dimension of a metric space is always bounded from above by the Assouad dimension. Most of the paper ... -
Extremal polynomials in stratified groups
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide (International Press, 2018)We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal sub-Riemannian extremals ... -
Conformality and Q-harmonicity in sub-Riemannian manifolds
Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro (Elsevier Masson, 2019)We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth in all contact ... -
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico (Springer, 2023)We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result follows from an embedding of metric derivations ...
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