Local properties of almost-Riemannian structures in dimension 3

DOI10.3934/dcds.2015.35.4115zbMath1335.53039arXiv1407.0610OpenAlexW2024150398MaRDI QIDQ255817

Gregoire Charlot, Moussa Gaye, Paolo Mason, Ugo V. Boscain

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0610

zbMATH Keywords

cut locussub-Riemannian geometryalmost-Riemannian structurehypoelliptic diffusion

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Hypoelliptic equations (35H10) Local Riemannian geometry (53B20) Sub-Riemannian geometry (53C17)

Related Items (9)

Solvable approximations of 3-dimensional almost-Riemannian structures ⋮ Quantum confinement on non-complete Riemannian manifolds ⋮ General nilpotent and solvable approximations of almost-Riemannian structures ⋮ Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces ⋮ Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups ⋮ Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds ⋮ Almost-Riemannian manifolds do not satisfy the curvature-dimension condition ⋮ Isometries of almost-Riemannian structures on Lie groups ⋮ Almost-Riemannian Geometry on Lie Groups

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