Sub-Lorentzian geometry on anti-de Sitter space

DOI10.1016/j.matpur.2008.02.012zbMath1151.53025arXiv0708.0879OpenAlexW2963437559MaRDI QIDQ935287

Irina Markina, Alexander Vasil'ev, Der-Chen E. Chang

Publication date: 6 August 2008

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0879

zbMATH Keywords

geodesics, anti-de Sitter spacesub-Riemannian and sub-Lorentzian geometries

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of noncommutative geometry in general relativity (83C65) Sub-Riemannian geometry (53C17)

Related Items (16)

Geodesics in the Engel group with a sub-Lorentzian metric ⋮ Sub-Riemannian geodesics on SL(2,ℝ) ⋮ The subelliptic heat kernel on the anti-de Sitter space ⋮ Geometric mechanics on product Heisenberg groups ⋮ Geodesics on \({\mathbb{H}}\)-type quaternion groups with sub-Lorentzian metric and their physical interpretation ⋮ Sub-semi-Riemannian geometry of general \(H\)-type groups ⋮ Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric ⋮ Sub-Lorentzian distance and spheres on the Heisenberg group ⋮ Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold ⋮ Existence of sub-Lorentzian longest curves ⋮ Extremal trajectories in the sub-Lorentzian problem on the Engel group ⋮ Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ Geodesics in the Engel group with a sub-Lorentzian metric -- the space-like case ⋮ Nonholonomic Lorentzian geometry on some \(\mathbb H\)-type groups ⋮ In memoriam Alexander Vasil'ev (1962--2016)

Cites Work

• Sub-Riemannian geometry
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I
• AdS geometry, projective embedded coordinates and associated isometry groups
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Anti-de Sitter space, squashed and stretched
• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• The Large Scale Structure of Space-Time
• The geometry of Minkowski spacetime. An introduction to the mathematics of the special theory of relativity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sub-Lorentzian geometry on anti-de Sitter space