Conformal equivalence of 3D contact structures on Lie groups

DOI10.1007/s10883-015-9273-8zbMath1341.53059arXiv1412.2358OpenAlexW2041962992WikidataQ115383673 ScholiaQ115383673MaRDI QIDQ273806

Francesco Boarotto

Publication date: 22 April 2016

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

Full work available at URL: https://arxiv.org/abs/1412.2358

zbMATH Keywords

Lie groupssub-Riemannian geometryconformal classificationleft-invariant structures

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)

Cites Work

• Sub-Riemannian structures on 3D Lie groups
• On the Hausdorff volume in sub-Riemannian geometry
• On Carnot-Caratheodory metrics
• The chains of left-invariant Cauchy-Riemann structures on \(SU(2)\)
• On Tanaka's prolongation procedure for filtered structures of constant type
• An intrinsic construction of Fefferman's CR metric
• On the equivalence problems associated with simple graded Lie algebras
• Invariant surfaces of the Heisenberg groups
• Control theory from the geometric viewpoint.
• Exponential mappings for contact sub-Riemannian structures
• The Ambient Metric (AM-178)
• The Fefferman Metric and Pseudohermitian Invariants
• Invariants of real low dimension Lie algebras
• A formula for Popp's volume in sub-Riemannian geometry
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