The Virasoro group and Lorentzian surfaces: The hyperboloid of one sheet

DOI10.1016/S0393-0440(99)00029-7zbMath0959.22014OpenAlexW2071788768MaRDI QIDQ1972280

Laurent Guieu, Christian Duval

Publication date: 7 June 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00029-7

zbMATH Keywords

Schwarzian derivativeVirasoro groupLorentzian surfacesConformal geometryCoadjoint orbitsProjective structures

Mathematics Subject Classification ID

Related Items (3)

Coxeter's frieze patterns and discretization of the Virasoro orbit ⋮ Isometries of Lorentz surfaces and convergence groups ⋮ Lorentzian worldlines and the Schwarzian derivative

Cites Work

• The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
• Diff(S\({}^ 1)\) and the Teichmüller spaces
• Coadjoint orbits of the Virasoro group
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• Central extensions and physics
• Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\)
• Unitary representations of some infinite dimensional groups
• Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations
• Deformations of Anosov flows and of Fuchsian groups
• On the characteristic classes of groups of diffeomorphisms
• Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
• Rotation number, geometrical structures on a circle and Bott-Virasoro group
• The trilogy of the momentum map
• An introduction to Lorentz surfaces
• Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
• Cyclic stabilisators for the coadjoint representation of the group of diffeomorphisms of the circle
• An analogue of the Riemann mapping theorem for Lorentz metrics
• Douglas' solution of the Plateau problem
• The cohomologies of the lie algebra of the vector fields in a circle
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Virasoro group and Lorentzian surfaces: The hyperboloid of one sheet