Article PDF
Avoid common mistakes on your manuscript.
Biobliographie
[A] Aubin, T.: Equations différentielles non-linéaires et problème de Yamabe concernant la courbure scalaire. J. Math. Pures Appl.55, 269–296 (1976)
[Az] Avez, A.: Remarques sur les variétés de dimension 4. C.R. Acad. Sci. Paris264, 738–740 (1967)
[B1] Besse, A.: Géométrie riemannienne en dimension 4. Textes mathématiques. Paris: Cedic 1981
[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)
[Bo 1] Bourguignon, J.P.: Une stratification de l'espace des structures riermanniennes. Compositio Math.30, 1–41 (1975)
[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)
[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
[D1] Derdzinski, A.: Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor. Math. Z.172, 273–280 (1980)
[D2] Derdzinski, A.: On compact Riemannian manifolds with harmonic curvature (to appear)
[E] Eisenhart, L.: Riemannian geometry. Princeton: Princeton University Press 1966
[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)
[H] Hitchin, N.: Compact four dimensional Einstein manifolds. J. Differential Geometry9, 435–442 (1974)
[Kr] Kuiper, N.: On conformally flat spaces in the large. Ann. Math.50, 916–924 (1949)
[K1] Kulkarni, R.: Conformally flat manifolds. Proc. Nat. Acad. Sci. USA69, 2675–2676 (1972)
[K2] Kulkarni, R.: On the Bianchi identies. Math. Ann.199, 175–204 (1972)
[K-N] Kobayashi, S., Nomizu, K.: Foundations of differential geometry. New York: Interscience 1963, 1969
[L] Lichnerowicz, A.: Spineurs harmoniques. C. R. Acad. Sci. Paris257, 7–9 (1963)
[M] Matsushima, Y.: Remarks on Kähler-Einstein manifolds. Nagoya J. Math.46, 161–173 (1972)
[S] Simons, J.: On the transitivity of holonomy systems. Ann. Math.76, 213–234 (1962)
[Si-St] Singer, I., Sternberg, S.: The infinite groups of Lie and Cartan. J. Analyse Math.15, 1–144 (1965)
[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)
Author information
Authors and Affiliations
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01456943