On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group

DOI10.46298/CM.10550zbMATH Open1547.53037MaRDI QIDQ6591971

Odirile Ntshudisane, Rory Biggs

Publication date: 23 August 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

sub-Riemannian structurestwo-step nilpotent Lie groups

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Sub-Riemannian geometry (53C17)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On sub-Riemannian and Riemannian structures on the Heisenberg groups
• Sub-Riemannian structures on 3D Lie groups
• Sub-Riemannian homogeneous spaces of Engel type
• Extremal trajectories and Maxwell strata in sub-Riemannian problem on group of motions of pseudo-Euclidean plane
• Sub-Riemannian geodesics on the three-dimensional solvable non-nilpotent Lie group \(\mathrm{SOLV}^-\)
• Isometries of nilpotent metric groups
• Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification
• Conjugate points in nilpotent sub-Riemannian problem on the Engel group
• A tour of subriemannian geometries, their geodesics and applications
• On sub-Riemannian geodesics on the Engel groups: Hamilton's equations
• Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
• Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
• Structure and Geometry of Lie Groups
• Maxwell strata in sub-Riemannian problem on the group of motions of a plane
• Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces
• Classification and Identification of Lie Algebras

This page was built for publication: On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6591971)