Une stratification de l'espace des structures riemanniennes
Compositio Mathematica, Tome 30 (1975) no. 1, p. 1-41
@article{CM_1975__30_1_1_0,
     author = {Bourguignon, Jean-Pierre},
     title = {Une stratification de l'espace des structures riemanniennes},
     journal = {Compositio Mathematica},
     publisher = {Noordhoff International Publishing},
     volume = {30},
     number = {1},
     year = {1975},
     pages = {1-41},
     zbl = {0301.58015},
     mrnumber = {418147},
     language = {fr},
     url = {http://www.numdam.org/item/CM_1975__30_1_1_0}
}
Bourguignon, Jean-Pierre. Une stratification de l'espace des structures riemanniennes. Compositio Mathematica, Tome 30 (1975) no. 1, pp. 1-41. http://www.numdam.org/item/CM_1975__30_1_1_0/

[1] M. Berger: Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive. Ann. Scuola Norm. Sup. da Pisa 3ème série, vol. 15 (1961) 179-246. | Numdam | MR 133083 | Zbl 0101.14201

[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. | MR 266084 | Zbl 0194.53103

[3] N. Bourbaki: Topologie générale, livre III, ch. I. Hermann. | Zbl 0102.37603

[4] N. Bourbaki: Variétés différentielles et analytiques, § 1-7, fascicule de résultats. Hermann. | Zbl 0171.22004

[5] N. Bourbaki: Groupes et algèbres de Lie, ch. 2 et 3. Hermann. | Zbl 0244.22007

[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. | MR 278231 | Zbl 0208.50002

[7] J.P. Bourguignon et E. Mazet: Sur le problème de riemanniennisation des fibrations différentiables. Preprint (1972).

[8] J. Cerf: Stratification naturelle des espaces de fonctions C∞. Publ. Math. de l'I.H.E.S., 39 (1970). | Numdam | Zbl 0213.25202

[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. | MR 358836 | Zbl 0274.57014

[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. | MR 231410 | Zbl 0205.53702

[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. | Zbl 0242.58002

[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. | MR 271984 | Zbl 0211.57401

[13] A.E. Fischer: The theory of superspace, in Relativity, édité par Carmeli, Fickler, Witten, Plenum Press (1970) p. 303-355. | MR 347323

[14] A.E. Fischer and J. Marsden: Submanifolds of riemannian metrics with prescribed scalar curvature. Preprint Berkeley (1973). | MR 346839 | Zbl 0288.53040

[15] W.V. Hsiang and W.Y. Hsiang: Differentiable actions of compact connected classical groups I. Amer. J. of Math. 89 (1967) 705-786. | MR 217213 | Zbl 0184.27204

[16] K. Jänich: Differenzierbare G. Mannigfaltigkeiten. Lect. Notes in Math. No 59 (1968). | MR 229261 | Zbl 0159.53701

[17] J. Kazdan andF. Warner: Prescribing curvatures. Proc. of the A.M.S. Symposia in Pure Math. Differential Geometry, Stanford (1973). | Zbl 0313.53017

[18] S. Kobayashi and N. Nomizu: Foundations of differential geometry. Interscience. | Zbl 0175.48504

[19] A. Lichnerowicz: Spineurs harmoniques. Note aux. C. R. Acad. Sc. Paris, t. 257 (1963) 7-9. | MR 156292 | Zbl 0136.18401

[20] S.B. Myers and N. Steenrod: The group of isometries of a riemannian manifold. Ann. of Math. 40 (1939) 400-456. | JFM 65.1415.03 | MR 1503467 | Zbl 0021.06303

[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. | MR 271983 | Zbl 0214.48805

[22] H. Omori: Groups of diffeomorphisms and their subgroups. Trans. A.M.S., vol. 179 (1973 85-122. | MR 377975 | Zbl 0269.58005

[23] R.S. Palais: Equivalence of nearby differentiable actions of a compact group. Bull. A.M.S. 67 (1961) 362-364. | MR 130321 | Zbl 0102.38101