Normal forms for the sub-Riemannian exponential map of \(\mathbb{G}_\alpha\), \(\mathrm{SU}(2)\), and \(\mathrm{SL}(2)\)

DOI10.1090/CONM/809/16199MaRDI QIDQ6670000

Samuël Borza

Publication date: 22 January 2025

zbMATH Keywords

normal formsexponential mapsub-Riemannian geometry

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Differentiable maps on manifolds (58C25) Sub-Riemannian geometry (53C17)

Cites Work

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• The Conjugate Locus of a Riemannian Manifold
• Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry
• Regularity and continuity properties of the sub-Riemannian exponential map

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