The ahlfors — Weyl theory of meromorphic maps on parabolic manifolds

The ahlfors — Weyl theory of meromorphic maps on parabolic manifolds
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DOI:
10.1007/bfb0066385
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发表时间:
1983
期刊:
--
影响因子:
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通讯作者:
W. Stoll
W. Stoll
中科院分区:
其他
文献类型:
--
作者:
W. Stoll

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We shall study the value distribution theory of meromorphic maps f: M->-lP n (1.1) where M is a m-dimensional parabolic manifold and where lP n is the n-dimensional complex projective space. The growth of f will be compared with the growth of the inverse images f-1 (E) of hyperplanes E in lPn. First H. Cartan [11] and H. and J. Weyl [79] considered this problem if M= In this case, Ahlfors [1] gave an ingenious proof of the defect relation. H. and J. Weyl [80] lifted the theory to Riemann surfaces H. Kneser [32] established the First Main Theorem for meromorphic functions on In [59] Stoll unified these methods and proved