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Conformal metrics with prescribed scalar curvature

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References

  1. Kazdan J., Warner, F.: Curvature functions for compact 2-manifolds. Ann. Math. (2)99, 14–47 (1974)

    Google Scholar 

  2. Moser, J.: On a nonlinear problem in differential geometry. Dynamical Systems (M. Peixoto, Editor), Academic Press, New York 1973

    Google Scholar 

  3. Schoen, R.: Conformal deformation of a Riemannian metric to constant scalar curvature J. Differ. Geom.20, 479–495 (1984)

    Google Scholar 

  4. Schoen, R., Yau, S.T.: On the proof of the positive mass conjecture in general relativity. Commun. Math. Phys.65, 45–76 (1979)

    Google Scholar 

  5. Schoen, R., Yau, S.T.: The geometry and topology of manifolds of positive scalar curvature (in preparation)

  6. Trudinger, N.: Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Ann. Sc. Norm. Super. Pisa (3)22, 265–274 (1968)

    Google Scholar 

  7. Bourguignon, J.P., Ezin, J.P.: Scalar curvature functions in a conformal class of metrics and conformal transformations (to appear)

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Authors and Affiliations

  1. Department of Mathematics, University of California, San Diego, 92093, La Jolla, CA, USA

    Jose F. Escobar & Richard M. Schoen

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  1. Jose F. Escobar
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  2. Richard M. Schoen
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Research supported by CNPq-Brazil

Partially supported by NSF

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Escobar, J.F., Schoen, R.M. Conformal metrics with prescribed scalar curvature. Invent Math 86, 243–254 (1986). https://doi.org/10.1007/BF01389071

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