Constant curvature ( 2 + 1 ) -spacetimes and projective structures

Francesco Bonsante

Séminaire de théorie spectrale et géométrie (2004-2005)

  • Volume: 23, page 9-48
  • ISSN: 1624-5458

Abstract

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Nous illustrons une classification des espace-temps (2+1) globalement hyperboliques a courboure constant, en terms de certaines structures projectives complexes portées par les surfaces de niveau de leur temps cosmologique canonique. Ceci derive d’une theorie des rotations de Wick canoniques, developpée en collaboration avec Riccardo Benedetti [6], qui sera egalement brievement illustrée.

How to cite

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Bonsante, Francesco. "Constant curvature $(2+1)$-spacetimes and projective structures." Séminaire de théorie spectrale et géométrie 23 (2004-2005): 9-48. <http://eudml.org/doc/11211>.

@article{Bonsante2004-2005,
abstract = {Nous illustrons une classification des espace-temps (2+1) globalement hyperboliques a courboure constant, en terms de certaines structures projectives complexes portées par les surfaces de niveau de leur temps cosmologique canonique. Ceci derive d’une theorie des rotations de Wick canoniques, developpée en collaboration avec Riccardo Benedetti [6], qui sera egalement brievement illustrée.},
author = {Bonsante, Francesco},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {space time; Wick rotation; classification of space time},
language = {eng},
pages = {9-48},
publisher = {Institut Fourier},
title = {Constant curvature $(2+1)$-spacetimes and projective structures},
url = {http://eudml.org/doc/11211},
volume = {23},
year = {2004-2005},
}

TY - JOUR
AU - Bonsante, Francesco
TI - Constant curvature $(2+1)$-spacetimes and projective structures
JO - Séminaire de théorie spectrale et géométrie
PY - 2004-2005
PB - Institut Fourier
VL - 23
SP - 9
EP - 48
AB - Nous illustrons une classification des espace-temps (2+1) globalement hyperboliques a courboure constant, en terms de certaines structures projectives complexes portées par les surfaces de niveau de leur temps cosmologique canonique. Ceci derive d’une theorie des rotations de Wick canoniques, developpée en collaboration avec Riccardo Benedetti [6], qui sera egalement brievement illustrée.
LA - eng
KW - space time; Wick rotation; classification of space time
UR - http://eudml.org/doc/11211
ER -

References

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  11. F. Bonsante Flat regular domains In preparation. 
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  13. D. B. A. Epstein(ed.). Analytical and Geometric Aspects of Hyperbolic Space. (Papers of two symposia), Warwick and Durham (England) 1984, London Mathemathical Society Lecture Note Series 111, Cambridge University Press, Cambridge 1987. Zbl0601.00008MR903849
  14. R. Geroch. Domain of Dependence, J. Mathematical. Phys. 11 (1970), 437–449. Zbl0189.27602MR270697
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  16. R. Kulkarni, U. Pinkall. A canonical metric for Moebius structures and its applications, Math. Z. 216, 89–119. Zbl0813.53022MR1273468
  17. G. Mess. Lorentz Spacetime of Constant Curvature, Preprint (1990). Zbl0709.57025MR2328921
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