Area formula for graph surfaces on five-dimensional sub-Lorentzian structures

DOI10.1134/S1064562416020277zbMath1350.53042OpenAlexW2403088250MaRDI QIDQ2631213

M. B. Karmanova

Publication date: 29 July 2016

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

Full work available at URL: https://doi.org/10.1134/s1064562416020277

zbMATH Keywords

graph surfacesub-Lorentzian structure

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Sub-Riemannian geometry (53C17)

Related Items (4)

Surface area on two-step sub-Lorentzian structures with multi-dimensional time ⋮ Maximal surfaces on five-dimensional group structures ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure

Cites Work

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• Remarks on global sub-Lorentzian geometry
• Geodesics on \({\mathbb{H}}\)-type quaternion groups with sub-Lorentzian metric and their physical interpretation
• Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space
• Properties of reachable sets in the sub-Lorentzian geometry
• Nonholonomic Lorentzian geometry on some \(\mathbb H\)-type groups
• The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution
• The graphs of Lipschitz functions and minimal surfaces on Carnot groups
• The structure of reachable sets for affine control systems induced by generalized Martinet sub-Lorentzian metrics
• An area formula for Lipschitz mappings of Carnot-Carathéodory spaces
• The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures

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