Skip to main content
Log in

Remarques sur les variétés conformément plates

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Biobliographie

  • [A] Aubin, T.: Equations différentielles non-linéaires et problème de Yamabe concernant la courbure scalaire. J. Math. Pures Appl.55, 269–296 (1976)

    Google Scholar 

  • [Az] Avez, A.: Remarques sur les variétés de dimension 4. C.R. Acad. Sci. Paris264, 738–740 (1967)

    Google Scholar 

  • [B1] Besse, A.: Géométrie riemannienne en dimension 4. Textes mathématiques. Paris: Cedic 1981

    Google Scholar 

  • [B2] Besse, A.: Einstein manifolds (to appear)

  • [Be] Berger, M.: Remarques sur les groupes d'holonomie des variétés riemanniennes. C. R. Acad. Sci. Paris262, 1316–1318 (1966)

    Google Scholar 

  • [Bo 1] Bourguignon, J.P.: Une stratification de l'espace des structures riermanniennes. Compositio Math.30, 1–41 (1975)

    Google Scholar 

  • [Bo 2] Bourguignon, J.P.: Les variétés de dimension 4 à courbure harmonique et à signature non nulle sont d'Einstein. Invent. Math.63, 263–286 (1981)

    Google Scholar 

  • [B-L] Bourguignon, J.P., Lawson, H.B.: Yang-Mills theory: its physical origin and differential geometric aspects. To appear in differential geometry (ed. Yau, S.T.) Princeton: Princeton University Press 1981

    Google Scholar 

  • [D1] Derdzinski, A.: Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor. Math. Z.172, 273–280 (1980)

    Google Scholar 

  • [D2] Derdzinski, A.: On compact Riemannian manifolds with harmonic curvature (to appear)

  • [E] Eisenhart, L.: Riemannian geometry. Princeton: Princeton University Press 1966

    Google Scholar 

  • [G-L] Gromov, M., Lawson, H.B.: Scalar curvature and spin in the presence of a fondamental group. I. Ann. Math.111, 209–230 (1980)

    Google Scholar 

  • [H] Hitchin, N.: Compact four dimensional Einstein manifolds. J. Differential Geometry9, 435–442 (1974)

    Google Scholar 

  • [Kr] Kuiper, N.: On conformally flat spaces in the large. Ann. Math.50, 916–924 (1949)

    Google Scholar 

  • [K1] Kulkarni, R.: Conformally flat manifolds. Proc. Nat. Acad. Sci. USA69, 2675–2676 (1972)

    Google Scholar 

  • [K2] Kulkarni, R.: On the Bianchi identies. Math. Ann.199, 175–204 (1972)

    Google Scholar 

  • [K-N] Kobayashi, S., Nomizu, K.: Foundations of differential geometry. New York: Interscience 1963, 1969

    Google Scholar 

  • [L] Lichnerowicz, A.: Spineurs harmoniques. C. R. Acad. Sci. Paris257, 7–9 (1963)

    Google Scholar 

  • [M] Matsushima, Y.: Remarks on Kähler-Einstein manifolds. Nagoya J. Math.46, 161–173 (1972)

    Google Scholar 

  • [S] Simons, J.: On the transitivity of holonomy systems. Ann. Math.76, 213–234 (1962)

    Google Scholar 

  • [Si-St] Singer, I., Sternberg, S.: The infinite groups of Lie and Cartan. J. Analyse Math.15, 1–144 (1965)

    Google Scholar 

  • [S-Y] Schoen, R., Yau, S.-T.: Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Ann. Math.110, 127–142 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lafontaine, J. Remarques sur les variétés conformément plates. Math. Ann. 259, 313–319 (1982). https://doi.org/10.1007/BF01456943

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456943

Navigation