Cover Image

Not all sub-Riemannian minimizing geodesics are smooth

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chitour, Yacine, Jean, Frédéric, Monti, Roberto, Rifford, Ludovic, Sacchelli, Ludovic, Sigalotti, Mario, Socionovo, Alessandro
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Metric Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds
by: Rossi, Tommaso, et al.
Published: (2026)

Sharp regularity of sub-Riemannian length-minimizing curves
by: Socionovo, Alessandro
Published: (2025)

A note on pliability and the openness of the multiexponential map in Carnot groups
by: Jean, Frédéric, et al.
Published: (2025)

Finsler and sub-Finsler geodesics with chattering
by: Lokutsievskiy, L. V., et al.
Published: (2025)

Generic density of stationary geodesic nets that are not closed geodesics
by: Talipov, Talant
Published: (2025)

Metabelian distributions and sub-Riemannian geodesics
by: Donne, Enrico Le, et al.
Published: (2024)

Bundle type sub-Riemannian structures on holonomy bundles
by: Correa, Eder M., et al.
Published: (2024)

Tangent groupoid and tangent cones in sub-Riemannian geometry
by: Mohsen, Omar
Published: (2022)

A quantitative approach to the regularity of a Riemannian surface
by: Eilat, Matan
Published: (2025)

The infinitesimal structure of manifolds with non-continuous Riemannian metrics
by: Ryborz, Vanessa
Published: (2025)

The Blaschke rolling theorem in Riemannian manifolds of bounded curvature
by: Drach, Kostiantyn
Published: (2024)

From almost smooth spaces to RCD spaces
by: Honda, Shouhei, et al.
Published: (2025)

Lipschitz Bounds and Uniform Convergence for Sequences of Bounded Rough Riemannian Metrics
by: Allen, Brian, et al.
Published: (2026)

A finiteness principle for distance functions on Riemannian surfaces with Hölder continuous curvature
by: Assouline, Rotem
Published: (2024)

The sharp diameter bound of stable minimal surfaces
by: Hu, Qixuan, et al.
Published: (2024)

Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups
by: Borza, Samuël, et al.
Published: (2024)

Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces
by: Fiorani, Francesco, et al.
Published: (2023)

A review of the tangent space in sub-Finsler geometry and applications to the failure of the $\mathsf{CD}$ condition
by: Magnabosco, Mattia, et al.
Published: (2024)

Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups
by: Bossio, Tania, et al.
Published: (2024)

Approximation of length metrics by conformally flat Riemannian metrics
by: Hip, Andres A. Contreras, et al.
Published: (2024)

On manifolds with almost non-negative Ricci curvature and integrally-positive $k^{th}$-scalar curvature
by: Cucinotta, Alessandro, et al.
Published: (2025)

Almost prescribing scalar curvature by mixed convex integration
by: Aliouane, Fatine, et al.
Published: (2025)

Length of a closed geodesic in 3-manifolds of positive scalar curvature
by: Liokumovich, Yevgeny, et al.
Published: (2025)

Gromov-Hausdorff distances from simply connected geodesic spaces to the circle
by: Martín, Saúl Rodríguez
Published: (2024)

Submanifolds of class $C^{1,α}$ and sets with positive $μ$-reach
by: Borrelli, Vincent, et al.
Published: (2026)

The Riemannian hemisphere is almost calibrated in the injective hull of its boundary
by: Züst, Roger
Published: (2021)

Hyperbolicity of the sub-Riemannian affine-additive group
by: Balogh, Zoltán M., et al.
Published: (2024)

Flat sub-Lorentzian structures on Martinet distribution
by: Sachkov, Yu. L.
Published: (2024)

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds
by: Nobili, Francesco
Published: (2024)

Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds
by: Nobili, Francesco, et al.
Published: (2022)

Generalized existence of extremizers for the sharp $p$-Sobolev inequality on Riemannian manifolds with nonnegative curvature
by: Nobili, Francesco, et al.
Published: (2025)

Existence and partial regularity of Legendrian area-minimizing currents
by: Orriols, Gerard
Published: (2024)

Towards Riemannian diffeology
by: Kuribayashi, Katsuhiko, et al.
Published: (2025)

Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach
by: Agrachev, Andrei A., et al.
Published: (2024)

Half Space Property in RCD(K,N) spaces
by: Cucinotta, Alessandro, et al.
Published: (2024)

A local isoperimetric inequality for balls with nonpositive curvature
by: Ghomi, Mohammad, et al.
Published: (2025)

On Minkowski's monotonicity problem
by: van Handel, Ramon, et al.
Published: (2025)

Ratio of Intrinsic Metric to Extrinsic Metric and Volume
by: Ceylan, Berk
Published: (2025)

Isometries of the Ebin metric
by: Lenze, David
Published: (2025)

Ball-convex bodies and $L_p$ relative surface areas
by: Werner, Elisabeth M., et al.
Published: (2025)