A Schwarz lemma for canonical algebraic manifolds
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- by Myung H. Kwack PDF
- Proc. Amer. Math. Soc. 41 (1973), 219-222 Request permission
Abstract:
It was proved that a holomorphic mapping with a fixed point between a canonical algebraic manifold is biholomorphic if and only if the absolute value of the determinant of its differential at the fixed point is 1.References
- Phillip A. Griffiths, Holomorphic mapping into canonical algebraic varieties, Ann. of Math. (2) 93 (1971), 439–458. MR 281954, DOI 10.2307/1970883
- Shoshichi Kobayashi, Hyperbolic manifolds and holomorphic mappings, Pure and Applied Mathematics, vol. 2, Marcel Dekker, Inc., New York, 1970. MR 0277770
- H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193–233. MR 224869, DOI 10.1007/BF02392083
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 219-222
- MSC: Primary 32H20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0326008-6
- MathSciNet review: 0326008