Published: 1981 Received: March 28, 1979Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Right : [B] R. Brody, Compact manifolds and hyperbolicity, Trans. Amer. Math. Soc., 235 (1978), 213-219. [C-G] S. S. Chern and P. A. Griffiths, Abel's theorem and webs, Jahresbericht Deutsch. Math. Verein, 80 (1978), 13-110. [C-L] E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, 1955. [C] R. Couty, Sur les transformations de varietes riemanniennes et kähleriennes, Ann. Inst. Fourier, 9 (1959), 147-248. [E] D. Eisenman, Holomorphic mappings into tight manifolds, Bull. Amer. Math. Soc., 76 (1970), 46-48. [G-W 1] R. E. Greene and H. Wu, Analysis on noncompact Kähler manifolds, Several Complex Variables, Proc. Sym. Pure Math., Volume 30, Part 2, Amer. Math. Soc. Publ., 1977, 69-100. [G-W 2] R. E. Greene and H. Wu, Function theory on manifolds which possess a pole, Lecture Notes in Mathematics, No. 699, Springer-Verlag, 1979. [H] E. Hille, Lectures on Ordinary Differential Equations, Addison-Wesley, 1969. [Ki] P. J. Kiernan, On the relations between taut, tight and hyperbolic manifolds, Bull. Amer. Math. Soc., 76 (1970), 49-51. [Ko 1] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, 1970. [Ko 2] S. Kobayashi, Transformation Groups in Differential Geometry, Ergebnisse Series, Volume 70, Springer-Verlag, 1972. [Ko 3] S. Kobayashi, Intrinsic distances, measures and geometric function theory, Bull. Amer. Math. Soc., 82 (1976), 357-416. [Ko 4] S. Kobayashi, Projective structures of hyperbolic type, Minimal Submanifolds and Geodesics, M. Obata, ed., Tokyo, 1978, 85-92. [K-Na] S. Kobayashi and T. Nagano, On projective connections, J. Math. Mech., 13 (1964), 215-236. [K-No] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Volume 1, John Wiley and Sons, 1963. [K-S] S. Kobayashi and T. Sasaki, Projective structures with trivial intrinsic pseudo-distance, Minimal Submanifolds and Geodesics, M. Obata, ed., Tokyo, 1978, 93-99. [L] E. Landau, Uber den Blochschen Satz and zwei verwandte Weltkonstanten, Math. Z., 39 (1929), 608-634. [R] H. L. Royden, Remarks on the Kobayashi metric, Several Complex Variables II, Lecture Notes in Math., Volume 185, Springer-Verlag, 1971, 125-137. [W-1] H. Wu, Normal families of holomorphic mappings, Acta Math., 119 (1967), 193-233. [W-2] H. Wu, A remark on the Bochner technique in differential geometry, Proc. Amer. Math. Soc., 78 (1980), 403-408. [Y] K. Yano, Les espaces à connexion projective et la géométrie projective des“paths”, Ann. Sci. de Univ. de Jassy, 24 (1938), 395-463. [Z] L. Zalcman, A heuristic principle in complex function theory, Amer. Math. Monthly, 82 (1975), 813-817.
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