Citation
C. Duval et L. Guieu, The Virasoro group and Lorentzian surfaces: the hyperboloid of one sheet, J GEOM PHYS, 33(1-2), 2000, pp. 103-127
Citations number
34
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440
→ ACNP
Volume
33
Issue
1-2
Year of publication
2000
Pages
103 - 127
Database
ISI
SICI code
0393-0440(200003)33:1-2<103:TVGALS>2.0.ZU;2-I
Abstract
We investigate, in detail, symplectic equivalence between several conformal
classes of Lorentz metrics on the hyperboloid of one sheet H-1,H-1 congrue
nt to T x T - Delta and affine coadjoint orbits of the group Diff(+)(Delta)
of orientation preserving diffeomorphisms of Delta congruent to T with its
natural projective structure. This will allow for generalizations, namely,
to the case of arbitrary projective structures on null infinity. (C) 2000
Published by Elsevier Science B.V. All rights reserved.