Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes

Witold Mozgawa

Annales de la Faculté des sciences de Toulouse : Mathématiques (1989)

  • Volume: 10, Issue: 2, page 171-191
  • ISSN: 0240-2963

How to cite

top

Mozgawa, Witold. "Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.2 (1989): 171-191. <http://eudml.org/doc/73229>.

@article{Mozgawa1989,
author = {Mozgawa, Witold},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {G-structure; Cartan connection; HP-structures; homogeneous space; homomorphisms of Lie algebras},
language = {fre},
number = {2},
pages = {171-191},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes},
url = {http://eudml.org/doc/73229},
volume = {10},
year = {1989},
}

TY - JOUR
AU - Mozgawa, Witold
TI - Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1989
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 2
SP - 171
EP - 191
LA - fre
KW - G-structure; Cartan connection; HP-structures; homogeneous space; homomorphisms of Lie algebras
UR - http://eudml.org/doc/73229
ER -

References

top
  1. [Ad] Ado I.D..— The representation of Lie algebras by matrices, Uspehi. Mat. Nauk (N.S.)2, N°6 (22), 1947, 159-173. MR27753
  2. [Ag] Agaooka Y.— Invariant flat projective structures on homogeneous spaces, Hokkaido Math. J., XI2, 1982, 125-172. Zbl0495.53045MR666751
  3. [Ca] Cartan E.— Sur les variétés à connexion projective, Bull. Soc. Math. France, 52, 1924, 205-241. Zbl50.0500.02JFM50.0500.02
  4. [Jw] Iwahori N.— On real irreducible representations of Lie algebras, Nagoya Math. J., 14, 1959, 59-83. Zbl0101.02401MR102534
  5. [Ja1] Jacobson N.- Structure and automorphisms of semi-simple Lie groups in the large, Ann. of Math., 40, 1939, 755-763. Zbl0023.30204MR264JFM65.1131.01
  6. [Ja2] Jacobson N.- Lie algebras, Dover Publications Inc.New-York, 1970. Zbl0121.27504MR559927
  7. [Ko1] Kobayashi S.— Canonical forms on frame bundles of higher order contact, Proc. Symposia in Pure Math. Vol. 3. Diff. Geom. A.M.S., 1961, 186-193. Zbl0109.40601MR126810
  8. [Ko, Och] Kobayashi S., Ochiai T.— Holomorphic projective structures on compact complex surfaces, Math. Ann., 249, 1980, 75-94. Zbl0412.32026MR575449
  9. [Ko, Na] Kobayashi S., Nagano T. - On projective connections, J. Math. Mech., 13, 1964, 215-235. Zbl0117.39101MR159284
  10. [Ma, Ok] Matsushima H., Okamoto K.— Non-existence of torsion free flat connections on a real semi-simple Lie group, Hiroshima Math. J.9, 1979, 59-60. Zbl0411.53006MR529327
  11. [Mo1] Mozgawa W.— Homomorphically projective structures I. The connections, An. Stiint. Univ. "Al.I. Cuza" Iasi, XXX, I, 1984'5, 55-68. Zbl0584.53020MR800153
  12. [Mo2] Mozgawa W.— Holomorphically projective structures II. The transgressed classes, Rend Circ. Nat. Palermo, XXXIV, 1985, 192-201. Zbl0599.53033MR814034
  13. [Och] Ochiai T.— Geometry associated with semi-simple flat homogeneous spaces, Trans. Amer. Math. Soc., 152, 1970, 159- 193. Zbl0205.26004MR284936
  14. [Se] Serre J.P..— Algèbres de Lie semi-simples complexes, W.A. Benjamin, Inc.New-York, 1966. Zbl0144.02105MR215886
  15. [Su, Wi] Sulanke R., Wintgen P. — Differentialgeometrie und Faserbündel, VEB Deutscher Verlag der Wissenschaften, Berlin1972. Zbl0327.53020MR413153
  16. [Szy] Szybiak A.— Grassmannian connections, Ann. Univ. Mariae Curie - Sklodowska, XXVIII, 1974, 57-78. Zbl0363.53018MR415532
  17. [Wa] Wang H.C.- On invariant connections over a principal fibre bundle, Nagoya Math. J., 13, 1958, 1-19. Zbl0086.36502MR107276
  18. [We] Wells R.O.- Differential Analysis on Complex Manifolds, GTM n°65, Springer Verlag1979. Zbl0435.32004MR608414

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.