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Hypersurfaces with constant scalar curvature. (English) Zbl 0349.53041

MSC:
53C40 Global submanifolds
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References:
[1] Calabi, E.: Improper affine hyperspheres of convex type and a generalization of a theorem by K. J√∂rgens. Mich. Math. J.5, 105 (1958) · Zbl 0113.30104 · doi:10.1307/mmj/1028998055
[2] Cheng, S. Y., Yau, S. T.: Differential equations on Riemannian manifolds and their geometric applications (to appear in Commun. Pure Appl. Math.) · Zbl 0312.53031
[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) · Zbl 0094.16303 · doi:10.2307/2372995
[5] Kobayashi, S., Nomizu, K.: Foundations of differential geometry. Vol. II. New York: Wiley-Interscience 1969 · Zbl 0175.48504
[6] Simons, J.: Minimal varieties in riemannian manifolds. Ann. Math.88, 62 (1968) · Zbl 0181.49702 · doi:10.2307/1970556
[7] Thomas, T. Y. T.: On closed spaces of constant mean curvature. Amer. J. Math.58, 702 (1936) · Zbl 0015.27303 · doi:10.2307/2371240
[8] Wu, H.: The spherical images of convex hypersurfaces. J. Diff. Geom.9, 279 (1974) · Zbl 0282.53040
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