References
Aubin, T.: Equations du type Monge-Ampère sur les variétés Kählériennes compactes. C. R. Acad. Sci. Paris283, 119–121 (1976)
Beauville, A.: Surfaces algébriques complexes. Astériques54, (1978)
Gunning, R.: On uniformization of complex manifolds: the role of connections. Math. Notes No. 22. Princeton: University Press 1978
Inoue, M., Kobayashi, S., Ochiai, T.: Holomorphic affine connections on compact complex surfaces J. Fac. Sci. Univ. Tokyo 27 (1980) (to appear)
Kobayashi, S., Nagano, T.: On projective connections. J. Math. and Mech.13, 215–236 (1964)
Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vol. II. Interscience Tracts No. 15. New York: Wiley 1969
Kodaira, K.: On compact complex analytic surfaces. I. Ann. of Math.71, 111–152 (1960); II77, 563–626 (1963); III78, 1–40 (1963)
Kodaira, K.: On the structure of compact complex analytic surfaces. I. Amer. J. Math.86, 751–798 (1964); II88, 682–721 (1966); III90, 55–83 (1968)
Kodaira, K.: Pluricanonical systems on algebraic surfaces of general type. J. Math. Soc. Japan20, 170–192 (1968)
Lascoux, A., Berger, M.: Variétés Kählériennes compactes. Lecture Notes in Mathematics 154. Berlin, Heidelberg, New York: Springer 1970
Miyaoka, Y.: Kähler metrics on elliptic surfaces. Proc. Japan Acad.50, 533–536 (1974)
Yau, S.T.: On the Ricci curvature of a compact Kähler manifolds and the complex Monge-Ampère equation. I. Comm. Pure Appl. Math.31, 339–411 (1978). See also Proc. Nat. Acad. Sci. USA74, 1798–1799 (1977)
Chen, B.-Y., Ogiue, K.: Some characterizations of complex space forms in terms of Chern classes. Quart. J. Math. Oxford Ser. 3,26, 459–464 (1975)
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Partially supported by NSF Grant MCS 79-02552
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Kobayashi, S., Ochiai, T. Holomorphic projective structures on compact complex surfaces. Math. Ann. 249, 75–94 (1980). https://doi.org/10.1007/BF01387081
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DOI: https://doi.org/10.1007/BF01387081