References
[AM] Adams, D.R., Meyers, N.G.: Bessel potentials, inclusion relations among classes of exceptional sets. Indiana Univ. Math. J.22, 873–905 (1973)
[Au] Aubin, T.: Équations différentielles nonlinéaires et Problem de Yamabe concernant la courbure scalaire. J. Math. Pure Appl.55, 269–296 (1976)
[B] Brooks, R.: The fundamental group and the spectrum of the Laplacian. Comm. Math. Helv.56, 581–598 (1981)
[CG] Cheeger, J., Gromoll, D.: The splitting theorem for manifolds of nonnegative Ricci curvature. J. Differ. Geom.6, 119–128 (1971)
[CY] Cheng, S.Y., Yau, S.-T.: Differential equation on Riemannian manifolds and their geometric application. Comm. Pure Appl. Math.28, 333–354 (1975)
[F] Fried, D.: Closed similarity manifolds. Comm. Math. Helv.55, 576–582 (1980)
[G] Goldman, W.M.: Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds. Trans. Am. Math. Soc.278, 573–583 (1983)
[Ka] Kamishima, Y.: Conformally flat manifolds whose development maps are not surjective I (Preprint)
[Ku1] Kuiper, N.: On conformally flat manifolds in the large. Ann. Math.50, 916–924 (1949)
[Ku2] Kuiper, N.: On compact conformally euclidean spaces of dimension >2. Ann. Math.52, 478–490 (1950)
[LN] Loewner, C., Nirenberg, L.: Partial differential equations invariant under conformal or projective transformations. Contribution to Analysis, 245–272. Academic Press, New York 1974
[M] Morrey, C.B.: Multiple Integrals in the Calculus of Variations, Springer, New York, 1966
[P] Patterson, S.J.: The limit set of a Fuchsian group. Acta Math.136, 241–273 (1976)
[Sc1] Schoen, R.: Conformal deformation of a Riemannian metric to constant scalar curvature. J. Differ. Geom.20, 479–495 (1984)
[Sc2] Schoen, R.: The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation (to appear in Comm. Pure Appl. Math., 1988)
[Sp] Spivak, M.: A Comprehensive Introduction to Differential Geometry, Volume Four, Publish or Perish, Inc., Berkeley, 1979
[SY1] Schoen, R., Yau, S.-T.: On the proof of the positive mass conjecture in general relativity. Comm. Math. Phys.65, 45–76 (1979)
[SY2] Schoen, R., Yau, S.-T.: Proof of the positive mass theorem II. Comm. Math. Phys.79, 231–260 (1981)
[Su] Sullivan, D.: The density at infinity of a discrete group of hyperbolic motions. IHES Publications Mathematiques No. 50, 171–202 (1979)
Author information
Authors and Affiliations
Additional information
Research supported in part by NSF grant #DMS84-09447 and ONR contract #N-00014-85-K-0367
Rights and permissions
About this article
Cite this article
Schoen, R., Yau, S.T. Conformally flat manifolds, Kleinian groups and scalar curvature. Invent Math 92, 47–71 (1988). https://doi.org/10.1007/BF01393992
Issue Date:
DOI: https://doi.org/10.1007/BF01393992