Sub-Riemannian homogeneous spaces of Engel type

DOI10.1007/s10883-013-9194-3zbMath1297.53027OpenAlexW2158003877WikidataQ115383693 ScholiaQ115383693MaRDI QIDQ457167

Dulce M. Almeida

Publication date: 26 September 2014

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-013-9194-3

zbMATH Keywords

Lie algebrasub-Riemannian geometryEngel distributionsub-homogeneous space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Sub-Riemannian geometry (53C17)

Related Items

On sub-Riemannian and Riemannian structures on the Heisenberg groups, Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions, Cut time in sub-riemannian problem on engel group, Control systems on the Engel group, Left-Invariant Sub-Riemannian Engel Structures: Abnormal Geodesics and Integrability

Cites Work

• Sub-Riemannian structures on 3D Lie groups
• Generic distributions and Lie algebras of vector fields
• Sub-Riemannian geometry
• Rigidity of integral curves of rank 2 distributions
• Sub-Riemannian homogeneous spaces in dimensions 3 and 4
• Existence of Engel structures
• On fat sub-Riemannian symmetric spaces in codimension three
• On contact sub-riemannian symmetric spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item