The sub-Riemannian curvature of curves in the Borel subgroup of the group \(\operatorname{SL}(2,\mathbb{R})\)

DOI10.1134/S0001434618110226zbMath1410.53035OpenAlexW2907909518WikidataQ115253733 ScholiaQ115253733MaRDI QIDQ668304

M. V. Tryamkin

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110226

zbMATH Keywords

special linear groupsub-Riemannian structureRiemann approximationsub-Riemannian curvature

Mathematics Subject Classification ID

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

Related Items (1)

Gauss-Bonnet theorems for Lorentzian and spacelike surfaces associated to canonical connections in the Lorentzian Heisenberg group

Cites Work

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• Sub-Riemannian structures on 3D Lie groups
• Sub-Riemannian curvature in contact geometry
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Minimal surfaces in the Heisenberg group
• Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
• Uniform estimates of the fundamental solution for a family of hypoelliptic operators

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