Holonomy of pseudo-Riemannian manifolds with signature (2,2+n).

A. Ikemakhen

Publicacions Matemàtiques (1999)

  • Volume: 43, Issue: 1, page 55-84
  • ISSN: 0214-1493

Abstract

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In this paper, we determine a class of possible restricted holonomy groups for a non-irreducible indecomposable pseudoriemannian manifold with signature (2,2 + n). In particular, we deduce that which associated to symmetric spaces; and give some examples of such spaces. Finally, we construct some examples of metrics whose restricted holonomy groups are not closed.

How to cite

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Ikemakhen, A.. "Sur l'holonomie des variétés pseudo-riemanniennes de signature (2,2+n).." Publicacions Matemàtiques 43.1 (1999): 55-84. <http://eudml.org/doc/41368>.

@article{Ikemakhen1999,
author = {Ikemakhen, A.},
journal = {Publicacions Matemàtiques},
keywords = {Grupos de holonomia; Variedad riemanniana; Signatura; Métricas riemannianas; pseudo-Riemannian manifolds; non-irreducible holonomy group},
language = {fre},
number = {1},
pages = {55-84},
title = {Sur l'holonomie des variétés pseudo-riemanniennes de signature (2,2+n).},
url = {http://eudml.org/doc/41368},
volume = {43},
year = {1999},
}

TY - JOUR
AU - Ikemakhen, A.
TI - Sur l'holonomie des variétés pseudo-riemanniennes de signature (2,2+n).
JO - Publicacions Matemàtiques
PY - 1999
VL - 43
IS - 1
SP - 55
EP - 84
LA - fre
KW - Grupos de holonomia; Variedad riemanniana; Signatura; Métricas riemannianas; pseudo-Riemannian manifolds; non-irreducible holonomy group
UR - http://eudml.org/doc/41368
ER -

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