Skip to main content
SpringerLink
Log in

A direct approach to the determination of Gaussian and scalar curvature functions

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bourguignon, J.-P.: Thesis, University of Paris VII, 1974

  2. Chern, S.S.: Differentiable Manifolds (Lecture Notes), Department of Mathematics, University of Chicago, Chicago, Ill., 1959

    Google Scholar 

  3. Elíasson, H.: On variations of Metrics. Math. Scand,29, 317–327 (1971)

    Google Scholar 

  4. Fischer, A., Marsden, J.: Submanifolds of Riemannian metrics with Prescribed Scalar Curvature. Proc. of Symposia in Pure Math.27, Amer. Math. Soc. (to appear)

  5. Hitchin, N.: The Space of Harmonic Spinors. Advances in Math.14, 1–55 (1974)

    Google Scholar 

  6. Kazdan, Jerry, L., Warner, F.W.: Curvature Functions for Compact 2-Manifolds. Annals of Math.99, 14–47 (1974)

    Google Scholar 

  7. Kazdan, Jerry L., Warner, F.W.: Curvature Functions for Open 2-Manifolds. Annals of Math.99, 203–219 (1974)

    Google Scholar 

  8. Kazdan, Jerry L., Warner, F.W.: Scalar Curvature and Conformal Deformation of Riemannian Structure. J. Diff. Geo.10 (1975). To appear

  9. Kazdan, Jerry L., Warner, F.W.: Existence and Conformal Deformation of Metrics with Prescribed Gaussian and Scalar Curvature. To appear in Annals of Math.

  10. Kazdan, Jerry L., Warner, F.W.: Prescribing Curvatures. Proc. of Symposia in Pure Math.27 (Differential Geometry), Amer. Math. Soc. To appear

  11. Lichnerowicz, A.: Spineurs harmoniques. C.R. Acad. Sci. Paris257, 7–9 (1963)

    Google Scholar 

  12. Moser, J.: On a Nonlinear problem in Differential Geometry. Dynamical Systems (M. Peixoto, ed.). New York: Academic Press 1973

    Google Scholar 

  13. Spivac, M.: A Comprehensive introduction to differential geometry, III. Boston: Publish or Perish 1975

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics E 1, University of Pennsylvania, 19174, Philadelphia, Pa, USA

    Jerry L. Kazdan & F. W. Warner

Authors
  1. Jerry L. Kazdan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. W. Warner
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by N.S.F. Grants GP28976X and GP29258.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kazdan, J.L., Warner, F.W. A direct approach to the determination of Gaussian and scalar curvature functions. Invent Math 28, 227–230 (1975). https://doi.org/10.1007/BF01425558

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01425558

Keywords

Search

Navigation