Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure

DOI10.1134/S1064562420020131zbMath1480.53046OpenAlexW3043494369MaRDI QIDQ2243722

M. B. Karmanova

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562420020131

zbMATH Keywords

level setcoarea formulasub-Lorentzian structuresub-Lorentzian measuretwo-step Carnot group

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Sub-Riemannian geometry (53C17)

Related Items (2)

The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure ⋮ Space-likeness of classes of level surfaces on Carnot groups and their metric properties

Cites Work

• A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces
• 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
• The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution
• The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
• Approximation of Hölder mappings on Carnot-Carathéodory spaces
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Two-step sub-Lorentzian structures and graph surfaces
• Unnamed Item

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