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References
Blaschke, W.: Vorlesungen über Differentialgeometrie II, Affine Differentialgeometrie. Berlin J. Springer 1923
Calabi, E.: The improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens. Mich. Math. J., 5(1958), 105–126
Calabi, E.: Hypersurfaces with maximal affinely invariant area. Amer. Jour. of Math., 104(1982), 91–126
Calabi, E.: Convex affine-maximal surfaces. Results in Math., vol. 13(1988), 199–223
Cheng, S.Y., Yau, S.T.: Differential equations on Riemannian manifolds and their geometric applications. Comm. on Pure and Applied Math., 28(1975), 333–354
Cheng, S.Y., Yau, S.T., Complete affine hypersurfaces, Part I. The completeness of Affine Metrics. Comm. on Pure and Applied Math., 39(1986), 839–866
Chern, S.S., Affine minimal hypersurfaces, Minimal Submanifolds and Geodesic., Kagai Publ., Ltd. Tokyo 1978, 17–30
Jörgens, K.: Über die Lösungen der Differentialgleichung rt-s2. Math. Ann., 127(1954), 180–184
Kurose, T.: Two results in the affine hypersurface theory. J. Math. Soc. Japan, vol. 41, 3(1989), 539–548
Li, A.M.: Affine maximal surfaces and harmonic functions. Lec. Notes, n. 1369(1986–87), 142–151
Li, A.M.: Some theorems in affine differential geometry. Acta Math. Sinica. To appear
Li, A.M., Penn, G.: Uniquess theorems in affine differential geometry, Part II. Results in Math., vol. 13(1988), 308–317
Martínez, A., Milán, F.: On the affine Bernstein Problem. Geom. Dedicata 37, No. 3, 295–302(1991)
Pogorelov, A. V.: On the improper affine hyperspheres. Geometriae Dedicata, 1(1972), 33–46.
Simon, U.: Affine differential geometry. Proceedings Conf. Math. Reasearch Institute at Oberwolfach, Nov. 2–8, 1986
Simon, U.: Hypersurfaces in equiaffine differential geometry and eigenvalue problems. Proceedings Conf. Diff. Geom. Nové Mesto(CSSR) 1983; Part I, 127–136(1984)
Simon, U.: Hypersurfaces in equiaffine differential geometry, Geometriae Dedicata, 17(1984), 157–168
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Martínez, A., Milán, F. (1991). Convex affine surfaces with constant affine mean curvature. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083637
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DOI: https://doi.org/10.1007/BFb0083637
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