Solvable approximations of 3-dimensional almost-Riemannian structures
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Publication:2119440
DOI10.3934/MCRF.2021023zbMath1490.53042OpenAlexW3138128591WikidataQ114022469 ScholiaQ114022469MaRDI QIDQ2119440
Ronald Manríquez, Philippe Jouan
Publication date: 29 March 2022
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2021023
Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local differential geometry (53B99) Sub-Riemannian geometry (53C17)
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Cites Work
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- Local properties of almost-Riemannian structures in dimension 3
- The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
- A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
- Two-dimensional almost-Riemannian structures with tangency points
- Manifolds, tensor analysis, and applications.
- Isometries of almost-Riemannian structures on Lie groups
- Lipschitz classification of almost-Riemannian distances on compact oriented surfaces
- Normal forms and invariants for 2-dimensional almost-Riemannian structures
- Conjugate and cut loci of a two-sphere of revolution with application to optimal control
- A general solution of the Duffing equation
- Almost-Riemannian Geometry on Lie Groups
- Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
- A Comprehensive Introduction to Sub-Riemannian Geometry
- Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
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