Space-likeness of classes of level surfaces on Carnot groups and their metric properties

DOI10.1134/S1064562420030102zbMath1480.53047OpenAlexW3086748231MaRDI QIDQ2243743

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/s1064562420030102

zbMATH Keywords

level setCarnot groupcoarea formulavector functionsub-Lorentzian structuresub-Lorentzian measure

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Sub-Riemannian geometry (53C17)

Related Items (1)

The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure

Cites Work

• Unnamed Item
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• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution
• Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure
• The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
• Approximation of Hölder mappings on Carnot-Carathéodory spaces
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Two-step sub-Lorentzian structures and graph surfaces

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