Variétés localement réductives et variétés G ¯ , H ¯ -structurées

Philippe Cornu

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 2, page 181-196
  • ISSN: 0391-173X

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Cornu, Philippe. "Variétés localement réductives et variétés $\overline{G}, \overline{H}$-structurées." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.2 (1983): 181-196. <http://eudml.org/doc/83903>.

@article{Cornu1983,
author = {Cornu, Philippe},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Chern-Weil construction; characteristic morphism; reductive homogeneous space; reductive structure; principal fibre bundle},
language = {fre},
number = {2},
pages = {181-196},
publisher = {Scuola normale superiore},
title = {Variétés localement réductives et variétés $\overline\{G\}, \overline\{H\}$-structurées},
url = {http://eudml.org/doc/83903},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Cornu, Philippe
TI - Variétés localement réductives et variétés $\overline{G}, \overline{H}$-structurées
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 2
SP - 181
EP - 196
LA - fre
KW - Chern-Weil construction; characteristic morphism; reductive homogeneous space; reductive structure; principal fibre bundle
UR - http://eudml.org/doc/83903
ER -

References

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  1. [1] C. Albert, Some properties of f-flat manifolds, J. Differential Geometry, 11 (1976), pp. 103-128. Zbl0347.53013MR420643
  2. [2] C. Albert - D. Lehmann, Une algebre graduée universelle pour les connexions sans torsion, Math. Z., 159 (1978), pp. 133-142. Zbl0359.58002MR488856
  3. [3] C. Albert - P. Molino, Pseudogroupes de Lie et structures différentiables, Montpellier, 1980. 
  4. [4] H. Cartan, Cohomologie réelle d'un espace fibré principal différentiable (I) et (II), Séminaire Cartan, 1949-1950, E.N.S.Paris, 1956. 
  5. [5] S. Kobayashi - K. Nomizu, Foundations of Differential Geometry, Tome 1, 1963- Tome 2, 1969, Interscience Publishers. Zbl0119.37502MR152974
  6. [6] A. Lichnerowicz, Geometrie des groupes de transformations, Dunod, Paris, 1958. Zbl0096.16001MR124009
  7. [7] O. Loos, Symetric spaces, Tome 1, Benjamin, 1969. Zbl0175.48601
  8. [8] K. Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math., 76 (1954), pp. 33-65. Zbl0059.15805MR59050
  9. [9] A. Sagle, On anti-commutative algebras and general Lie triple systems, Pacific J. Math., 15 (1965), pp. 281-291. Zbl0142.27502MR177018

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