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A Theorem on Analytic Mappings of Complex Manifolds

Published online by Cambridge University Press:  22 January 2016

Minoru Kurita
Minoru Kurita*
Affiliation:
Mathematical Institute, Nagoya University
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We prove in this paper a theorem on analytic mappings of the complex space Cn into the complex projective space Pn. The theorem is closely related to that of S. S. Chern in [1], and the main idea of the proof is the same with the latter, though the calculations are rather different. The background of our calculation is the normal contact metric structure which was found by S. Sasaki and Y. Hatakeyama [4].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 543 - 557
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Chern, S. S., The integrated form of the first main theorem for complex analytic mappings in several complex variables, Ann. of Math., 71 (1960), 536–551.CrossRefGoogle Scholar
[2] Chern, S. S., Holomorphic mapping of complex manifolds, Enseignement Math., 7 (1961), 552–560.Google Scholar
[3] Kurita, M., On normal contact metric manifolds, J. Math. Soc. Japan, 15 (1963), 304–318.CrossRefGoogle Scholar
[4] Sasaki, S. and Hatakeyama, Y., On differentiable manifolds with contact metric structures, J. Math. Soc. Japan, 14 (1962), 249–271.CrossRefGoogle Scholar