The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure
From MaRDI portal
Publication:2661741
DOI10.1134/S0037446621020051zbMath1467.53033OpenAlexW3152140922MaRDI QIDQ2661741
Publication date: 8 April 2021
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446621020051
Variational problems in a geometric measure-theoretic setting (49Q20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Sub-Riemannian geometry (53C17)
Related Items
Sub-Lorentzian coarea formula for mappings of Carnot groups, Classes of noncontact mappings of Carnot groups and metric properties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces
- 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
- 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
- Balls and metrics defined by vector fields. I: Basic properties
- Minimal immersions, Einstein's equations and Mach's principle
- 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 area of graphs on arbitrary Carnot groups with sub-Lorentzian structure
- Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure
- Space-likeness of classes of level surfaces on Carnot groups and their metric properties
- 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
- Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I
- Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
- On determinism and well-posedness in multiple time dimensions
- MAXIMAL TUBULAR HYPERSURFACES IN MINKOWSKI SPACE
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- The structure of reachable sets for affine control systems induced by generalized Martinet sub-Lorentzian metrics
- Two-step sub-Lorentzian structures and graph surfaces
- The geometry of Minkowski spacetime. An introduction to the mathematics of the special theory of relativity
