Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures
From MaRDI portal
Publication:530278
DOI10.1134/S0037446616020105zbMath1350.53043MaRDI QIDQ530278
Publication date: 29 July 2016
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
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 (7)
Graph surfaces on five-dimensional sub-Lorentzian structures ⋮ Three-dimensional graph surfaces on five-dimensional Carnot-Carathéodory spaces ⋮ Maximal surfaces on five-dimensional group structures ⋮ Geometry of fibered graphs of mappings ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ Classes of maximal surfaces on Carnot groups ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on global sub-Lorentzian geometry
- Geodesics on \({\mathbb{H}}\)-type quaternion groups with sub-Lorentzian metric and their physical interpretation
- Normal forms and reachable sets for analytic Martinet sub-Lorentzian structures of Hamiltonian type
- Reachable sets for the Heisenberg sub-Lorentzian structure on \(\mathbb R^3\). An estimate for the distance function
- The area of graph surfaces on four-dimensional two-step sub-Lorentzian structures
- 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
- 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 graphs of Lipschitz functions and minimal surfaces on Carnot groups
- Graphs of Lipschitz functions and minimal surfaces on Carnot groups
- Reachable sets for contact sub-Lorentzian structures on \(\mathbb R^3\). Application to control affine systems on \(\mathbb R^3\) with a scalar input
- The structure of reachable sets and geometric optimality of singular trajectories for certain affine control systems in \(\mathbb R^{3}\). The sub-Lorentzian approach
- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
- MAXIMAL TUBULAR HYPERSURFACES IN MINKOWSKI SPACE
- The structure of reachable sets for affine control systems induced by generalized Martinet sub-Lorentzian metrics
- Large scale detection of half-flats in CAT(0)-spaces
- The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures
This page was built for publication: Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures