Regularity and Continuity properties of the sub-Riemannian exponential map

Borza, Samuël; Klingenberg, Wilhelm

doi:10.1007/s10883-022-09624-y

All Outputs (3)

Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry (2023)
Journal Article
Borza, S., & Klingenberg, W. (2024). Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry. Nonlinear Analysis: Theory, Methods and Applications, 239, Article 113421. https://doi.org/10.1016/j.na.2023.113421

Roots of Polynomials and Umbilics of Surfaces (2023)
Journal Article
Guilfoyle, D., & Klingenberg, W. (2023). Roots of Polynomials and Umbilics of Surfaces. Results in Mathematics, 78(6), https://doi.org/10.1007/s00025-023-02003-4

Regularity and Continuity properties of the sub-Riemannian exponential map (2023)
Journal Article
Borza, S., & Klingenberg, W. (2023). Regularity and Continuity properties of the sub-Riemannian exponential map. Journal of Dynamical and Control Systems, 29(4), 1385-1407. https://doi.org/10.1007/s10883-022-09624-y

We prove a version of Warner’s regularity and continuity properties for the sub-Riemannian exponential map. The regularity property is established by considering sub-Riemannian Jacobi fields while the continuity property follows from studying the Mas... Read More about Regularity and Continuity properties of the sub-Riemannian exponential map.