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Hypersurfaces with constant scalar curvature

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References

  1. Calabi, E.: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Mich. Math. J.5, 105 (1958)

    Google Scholar 

  2. Cheng, S. Y., Yau, S. T.: Differential equations on Riemannian manifolds and their geometric applications (to appear in Commun. Pure Appl. Math.)

  3. Chern, S.S.: Minimal submanifolds in a Riemannian manifold. Mimeographed lecture notes. Univ. of Kansas 1968

  4. Hartman, P., Nirenberg, L.: On spherical image maps whose Jacobians do note change sign. Amer. J. Math.81, 901 (1959)

    Google Scholar 

  5. Kobayashi, S., Nomizu, K.: Foundations of differential geometry. Vol. II. New York: Wiley-Interscience 1969

    Google Scholar 

  6. Simons, J.: Minimal varieties in riemannian manifolds. Ann. Math.88, 62 (1968)

    Google Scholar 

  7. Thomas, T. Y. T.: On closed spaces of constant mean curvature. Amer. J. Math.58, 702 (1936)

    Google Scholar 

  8. Wu, H.: The spherical images of convex hypersurfaces. J. Diff. Geom.9, 279 (1974)

    Google Scholar 

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 10012, New York, N.Y., USA

    Shiu-Yuen Cheng

  2. Mathematics Department, Stanford University, 94305, Stanford, CA, USA

    Shing-Tung Yau

Authors
  1. Shiu-Yuen Cheng
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  2. Shing-Tung Yau
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Cheng, SY., Yau, ST. Hypersurfaces with constant scalar curvature. Math. Ann. 225, 195–204 (1977). https://doi.org/10.1007/BF01425237

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