Une stratification de l'espace des structures riemanniennes

Jean-Pierre Bourguignon

Compositio Mathematica (1975)

  • Volume: 30, Issue: 1, page 1-41
  • ISSN: 0010-437X

How to cite

top

Bourguignon, Jean-Pierre. "Une stratification de l'espace des structures riemanniennes." Compositio Mathematica 30.1 (1975): 1-41. <http://eudml.org/doc/89245>.

@article{Bourguignon1975,
author = {Bourguignon, Jean-Pierre},
journal = {Compositio Mathematica},
language = {fre},
number = {1},
pages = {1-41},
publisher = {Noordhoff International Publishing},
title = {Une stratification de l'espace des structures riemanniennes},
url = {http://eudml.org/doc/89245},
volume = {30},
year = {1975},
}

TY - JOUR
AU - Bourguignon, Jean-Pierre
TI - Une stratification de l'espace des structures riemanniennes
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 30
IS - 1
SP - 1
EP - 41
LA - fre
UR - http://eudml.org/doc/89245
ER -

References

top
  1. [1] M. Berger: Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive. Ann. Scuola Norm. Sup. da Pisa3ème série, vol. 15 (1961) 179-246. Zbl0101.14201MR133083
  2. [2] M. Berger and D.G. Ebin: Some decompositions of the space of symmetric tensors on a manifold. J. of Diff. Geom. vol. 3, No 3 (Sept. 1969) 379-392. Zbl0194.53103MR266084
  3. [3] N. Bourbaki: Topologie générale, livre III, ch. I. Hermann. Zbl0102.37603
  4. [4] N. Bourbaki: Variétés différentielles et analytiques, § 1-7, fascicule de résultats. Hermann. Zbl0171.22004
  5. [5] N. Bourbaki: Groupes et algèbres de Lie, ch. 2 et 3. Hermann. Zbl0244.22007
  6. [6] J.P. Bourguignon: Sur le vecteur de courbure d'une variété riemannienne compacte. Note aux C. R. Acad. Sc. Paris, t. 272 (1971) 736-739. Zbl0208.50002MR278231
  7. [7] J.P. Bourguignon et E. Mazet: Sur le problème de riemanniennisation des fibrations différentiables. Preprint (1972). 
  8. [8] J. Cerf: Stratification naturelle des espaces de fonctions C∞. Publ. Math. de l'I.H.E.S., 39 (1970). Zbl0213.25202
  9. [9] P.E. Conner, F. Raymond and P.J. Weinberger: Manifolds with no periodic maps, Proc. of the 2nd Conference on Compact Transformation Groups II, Amherst, (1971), Lect. Notes in Math. No 299. Zbl0274.57014MR358836
  10. [10] D.G. Ebin: The space of riemannian metrics. Proc. of the A.M.S. Symposia in Pure Math., vol. XV, Global Analysis, Berkeley (1968) 11-40. Zbl0205.53702MR231410
  11. [11] D.G. Ebin: Espace des métriques et mouvement des fluides via les variétés d'applications (1971), Publication du Centre de Mathématiques de l'Ecole Polytechnique. Zbl0242.58002
  12. [12] D.G. Ebin and J. Marsden: Groups of diffeomorphisms and the motion of an incompressible perfect fluid. Annals of Math. vol. 92, No. 1 (1970) 102-163. Zbl0211.57401MR271984
  13. [13] A.E. Fischer: The theory of superspace, in Relativity, édité par Carmeli, Fickler, Witten, Plenum Press (1970) p. 303-355. MR347323
  14. [14] A.E. Fischer and J. Marsden: Submanifolds of riemannian metrics with prescribed scalar curvature. Preprint Berkeley (1973). Zbl0288.53040MR346839
  15. [15] W.V. Hsiang and W.Y. Hsiang: Differentiable actions of compact connected classical groups I. Amer. J. of Math.89 (1967) 705-786. Zbl0184.27204MR217213
  16. [16] K. Jänich: Differenzierbare G. Mannigfaltigkeiten. Lect. Notes in Math. No 59 (1968). Zbl0159.53701MR229261
  17. [17] J. Kazdan and F. Warner: Prescribing curvatures. Proc. of the A.M.S. Symposia in Pure Math. Differential Geometry, Stanford (1973). Zbl0313.53017
  18. [18] S. Kobayashi and N. Nomizu: Foundations of differential geometry. Interscience. Zbl0119.37502
  19. [19] A. Lichnerowicz: Spineurs harmoniques. Note aux. C. R. Acad. Sc. Paris, t. 257 (1963) 7-9. Zbl0136.18401MR156292
  20. [20] S.B. Myers and N. Steenrod: The group of isometries of a riemannian manifold. Ann. of Math.40 (1939) 400-456. Zbl0021.06303MR1503467JFM65.1415.03
  21. [21] H. Omori: On the group of diffeomorphisms on a compact manifold. Proc. of the A.M.S. Symposia in Pure Math. Global Analysis, Berkeley (1968) 167-183. Zbl0214.48805MR271983
  22. [22] H. Omori: Groups of diffeomorphisms and their subgroups. Trans. A.M.S., vol. 179 (197385-122. Zbl0269.58005MR377975
  23. [23] R.S. Palais: Equivalence of nearby differentiable actions of a compact group. Bull. A.M.S. 67 (1961) 362-364. Zbl0102.38101MR130321

Citations in EuDML Documents

top
  1. S. Klimek, W. Kondracki, W. Oledzki, P. Sadowski, The density problem for infinite dimensional group actions
  2. Lars Andersson, On the space of asymptotically euclidean metrics
  3. Jacques Lafontaine, Luc Rozoy, Courbure scalaire et trous noirs
  4. Gérard Besson, Sur la multiplicité de la première valeur propre des surfaces riemanniennes
  5. Marina Ville, Sur le volume des variétés riemanniennes pincées
  6. Lionel Bérard Bergery, La courbure scalaire des variétés riemanniennes
  7. Alexander Nabutovsky, Shmuel Weinberger, Variational problems for riemannian functionals and arithmetic groups

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.