Structures localement plates isotropes des groupes de Lie

Nguiffo B. Boyom

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 1, page 91-131
  • ISSN: 0391-173X

How to cite

top

Boyom, Nguiffo B.. "Structures localement plates isotropes des groupes de Lie." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.1 (1993): 91-131. <http://eudml.org/doc/84144>.

@article{Boyom1993,
author = {Boyom, Nguiffo B.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {affine transformations; affine manifold; linear connection; left- invariant affine structures; nilpotent Lie groups; Heisenberg group},
language = {fre},
number = {1},
pages = {91-131},
publisher = {Scuola normale superiore},
title = {Structures localement plates isotropes des groupes de Lie},
url = {http://eudml.org/doc/84144},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Boyom, Nguiffo B.
TI - Structures localement plates isotropes des groupes de Lie
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 1
SP - 91
EP - 131
LA - fre
KW - affine transformations; affine manifold; linear connection; left- invariant affine structures; nilpotent Lie groups; Heisenberg group
UR - http://eudml.org/doc/84144
ER -

References

top
  1. [1] C. Albert - P. Molino, Pseudogroupes de Lie, Tome 1, Collection Travaux en cours, HermannParis. 
  2. [2] L. Auslander, Simply transitive groups of affine motions, Amer. J. Math., 99 (1977), 215-222. Zbl0357.22006MR447470
  3. [3] N. Bourbaki, Chapitre 10, Algèbre homologique, HermannParis. 
  4. [4] Y. Carriere, Autour de la conjecture de Markus, Invent. Math., 95 (1989), 628-645. Zbl0682.53051MR979369
  5. [5] L.S. Charlap, Bieberbach groups and flat manifolds, Universitext Springer. Zbl0608.53001MR862114
  6. [6] C. Chevalley - S. Eillenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc., 63 (1948), 85-124. Zbl0031.24803MR24908
  7. [7] D. Fried - W. Goldman, Three dimensional affine crystallographic groups, Adv. in Math., 47 (1983), 1-49. Zbl0571.57030MR689763
  8. [8] D. Fried - W. Goldman - M. Hirsch, Affine manifolds with nilpotent holonomy, Comment. Math. Helv., 56 (1981), 487-523. Zbl0516.57014MR656210
  9. [9] C. Gerstenhaber, Deformation of Rings and Algebras, Ann. of Math., 19 (1964), 59-103. Zbl0123.03101MR171807
  10. [10] M. Goze - J.M. Bermudez, Algèbres de Lie rigides, Proceedings of the Koninklijke Nederlandse Akademie, 88 (1985), 397-415. Zbl0577.17008MR820932
  11. [11] J.L. Koszul, (a) Homologie et cohomologie des algèbres de Lie, Bull. Soc. Math. France, 78 (1950), 66-127. Zbl0039.02901MR36511
  12. (b) Deformations des variétés localement plates, Ann. Inst. Fourier, 18 (1968), 103-114. Zbl0167.50103MR239529
  13. [12] J. Milnor, On the fundamental groups of complete affinely flat manifolds, Adv. in Math., 25 (1977), 178-187. Zbl0364.55001MR454886
  14. [13] Nguiffo B. Boyom, (a) The lifting problem for affine structure in nilpotent Lie groups, Trans. Amer. Math. Soc., 313 (1989), 347-379. Zbl0672.53034MR935938
  15. (b) Structures affines homotopes à zéro des groupes de Lie nilpotents, to appear in J. Differential Geom., 31 (1989). 
  16. (c) Structure affine des groupes de Lie résolubles, preprint Montpellier, Nov. 1989. 
  17. [14] A. Nijenhuis - W. Richardson, Deformation of Lie algebra structures, J. of Math. and Mech., (1967) 89-106. Zbl0166.30202MR214636
  18. [15] G. Rauch, Variation de structure d'algèbre de Lie, Thèse Doct. Sc., Orsay1973. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.