Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric
From MaRDI portal
Publication:1928828
DOI10.1007/s10883-012-9156-1zbMath1261.58009OpenAlexW2067992245MaRDI QIDQ1928828
Publication date: 4 January 2013
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-012-9156-1
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reachable sets for the Heisenberg sub-Lorentzian structure on \(\mathbb R^3\). An estimate for the distance function
- Sub-Lorentzian geometry on anti-de Sitter space
- The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
- Nonholonomic Lorentzian geometry on some \(\mathbb H\)-type groups
- Sub-Riemannian geometry
- Normal forms of germs of contact sub-Lorentzian structures on \(\mathbb R^3\). Differentiability of the sub-Lorentzian distance function
- On sub-Riemann caustics and wave fronts for contact distributions in the three-space
- Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
- Singular extremals on Lie groups
- Small sub-Riemannian balls on \(\mathbf R^3\)
- Optimal control on the Heisenberg group
- Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
- An Extension of a Theorem of Nagano on Transitive Lie Algebras
- Variational aspects of the geodesics problem in sub-Riemannian geometry
This page was built for publication: Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric
