On the holonomy of Lorentzian metrics

Charles Boubel[1]

  • [1] Unité de Mathématiques Pures et Appliquées (UMR CNRS 5669), École Normale Supérieure de Lyon, 46 allée d’Italie 69364 Lyon Cedex 07 France

Annales de la faculté des sciences de Toulouse Mathématiques (2007)

  • Volume: 16, Issue: 3, page 427-475
  • ISSN: 0240-2963

Abstract

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Indecomposable Lorentzian holonomy algebras, except 𝔰𝔬 ( n , 1 ) and { 0 } , are not semi-simple; they possibly belong to four families of algebras. All four families are realized as families of holonomy algebras: we describe the corresponding set of germs of metrics in each case.

How to cite

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Boubel, Charles. "On the holonomy of Lorentzian metrics." Annales de la faculté des sciences de Toulouse Mathématiques 16.3 (2007): 427-475. <http://eudml.org/doc/10059>.

@article{Boubel2007,
abstract = {Indecomposable Lorentzian holonomy algebras, except $\mathfrak\{so\}(n,1)$ and $\lbrace 0\rbrace $, are not semi-simple; they possibly belong to four families of algebras. All four families are realized as families of holonomy algebras: we describe the corresponding set of germs of metrics in each case.},
affiliation = {Unité de Mathématiques Pures et Appliquées (UMR CNRS 5669), École Normale Supérieure de Lyon, 46 allée d’Italie 69364 Lyon Cedex 07 France},
author = {Boubel, Charles},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
language = {eng},
number = {3},
pages = {427-475},
publisher = {Université Paul Sabatier, Toulouse},
title = {On the holonomy of Lorentzian metrics},
url = {http://eudml.org/doc/10059},
volume = {16},
year = {2007},
}

TY - JOUR
AU - Boubel, Charles
TI - On the holonomy of Lorentzian metrics
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2007
PB - Université Paul Sabatier, Toulouse
VL - 16
IS - 3
SP - 427
EP - 475
AB - Indecomposable Lorentzian holonomy algebras, except $\mathfrak{so}(n,1)$ and $\lbrace 0\rbrace $, are not semi-simple; they possibly belong to four families of algebras. All four families are realized as families of holonomy algebras: we describe the corresponding set of germs of metrics in each case.
LA - eng
UR - http://eudml.org/doc/10059
ER -

References

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