On the approximability and parametrization of preimages of elements of Carnot groups on sub-Lorentzian structures

DOI10.1134/S0001434622010175zbMath1494.53037OpenAlexW4213444081MaRDI QIDQ2113410

M. B. Karmanova

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434622010175

zbMATH Keywords

Carnot groupsub-Lorentzian structureorder of tangencycontact mappingparametrization of setpreimage of point

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (1)

Measure of images of contact mappings on two-step sub-Lorentzian structures

Cites Work

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• Geodesics on \({\mathbb{H}}\)-type quaternion groups with sub-Lorentzian metric and their physical interpretation
• Reachable sets for the Heisenberg sub-Lorentzian structure on \(\mathbb R^3\). An estimate for the distance function
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• On local metric characteristics of level sets of \(C_H^1\)-mappings of Carnot manifolds
• The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
• MAXIMAL TUBULAR HYPERSURFACES IN MINKOWSKI SPACE
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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