This is a preview of subscription content, log in via an institution to check access.
Bibliography
L. Ahlfors,An extension of Schwarz’s lemma, Trans. Amer. Math. Soc.43 (1938), 359–364.
L. Ahlfors,The theory of meromorphic curves, Finska Vetenskaps—Societeten, Helsingfors: Acta Soc. Sci. Fenn. Ser. A.3 (1941), 3–31.
A. Bloch,Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires, Ann. Ecole Normale43 (1926), 309–362.
E. Borel,Sur les zéros des fonctions entières, Acta Math.20 (1896), 357–396.
J. Carlson,Some degeneracy theorems for entire functions with values in an algebraic variety, Trans. Amer. Math. Soc.168 (1972), 273–302.
J. Carlson and P. Griffiths,A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math.95 (1972), 557–584.
H. Cartan,Differential Forms, Hermann, Paris; H. Miflin Co., Boston, 1970.
H. Cartan,Sur les systèmes de fonctions holomorphes à variétés lacunaires et leurs applications. Ann. Ecole Normale45 (1928), 255–346.
H. Cartan,Sur les zéros des combinaisons linéaires de p fonctions holomorphes données, Mathematica (Cluj)7 (1933), 5–31.
S. S. Chern,Holomorphic curves in the plane, inDifferential Geometry, in honor of K. Yano, Kinokuniya, Tokyo, 1972, pp. 73–94.
J. Dufresnoy,Théorie nouvelle des familles complexes normales, Ann. Ecole Normale61 (1944), 1–44.
H. Fujimoto,Families of holomorphic maps into projective space omitting some hyperplanes, J. Math. Soc. Japan25 (1973), 235–249.
P. Griffiths,Hermitian differential geometry, Chern classes, and positive vector bundles, inGlobal Analysis (Papers in honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969, pp. 185–251.
P. Griffiths and J. King,Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math.130 (1973), 145–220.
M. Green,Holomorphic maps into complex projective space omitting hyperplanes, Trans. Amer. Math. Soc.169 (1972), 89–105.
R. Greene and H. Wu,Curvature and complex analysis I, II, III, resp. in Bull. Amer. Math. Soc.77 (1971), 1045–1049;78 (1972), 866–870;79 (1973), 606–608.
P. Kiernan and S. Kobayashi,Holomorphic mappings into projective space with lacunary hyperplanes, Nagoya Math. J.50 (1973), 199–215.
S. Kobayashi,Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970.
R. Nevanlinna,Le théorème de Picard-Borel et la théorie des fonctions meromorphes, Paris, Gauthier-Villars, 1929.
L. Santaló Sors,Introduction to Integral Geometry, Paris, Hermann, 1953.
H. Weyl and J. Weyl,Meromorphic Functions and Analytic Curves, Princeton University Press, Princeton, New Jersey, 1943.
H. Wu,The Equidistribution Theory of Holomorphic Curves, Princeton University Press, Princeton, New Jersey, 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cowen, M., Griffiths, P. Holomorphic curves and metrics of negative curvature. J. Anal. Math. 29, 93–153 (1976). https://doi.org/10.1007/BF02789977
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02789977