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A Theorem on an Analytic Mapping of Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Minoru Kurita
Minoru Kurita*
Affiliation:
Mathematical Institute, Nagoya University
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Recently S. S. Chern [1] intended an aproach to some problems about analytic mappings of Riemann surfaces from a view-point of differential geometry. In that line we treat here orders of circular points of analytic mappings. The author expresses his thanks to Prof. K. Noshiro for his kind advices.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 19 , October 1961 , pp. 149 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1961

References

[1] Chern, S. S.; Complex analytic mappings on Riemann surfaces. Amer. Jour. Math. vol. 82 (1960), pp. 323–337.CrossRefGoogle Scholar
[2] Fialkow, A.; Conformal geodesies, Trans. Amer. Math. Soc. vol. 45 (1939), pp. 443–473.Google Scholar
[3] Kurita, M.; On conformal Riemann spaces. Jour. Math. Soc. Japan vol. 7 (1955), pp. 13–31.Google Scholar
[4] Kurita, M.; On the holonomy group of the conformally flat Riemannian manifold, Nagoya Math. Jour. vol. 9 (1955), pp. 161–171.CrossRefGoogle Scholar
[5] Kurita, M.; A note on umbilics of a closed surface. Nagoya Math. Jour. vol. 15 (1959), pp.Google Scholar
[6] Yano, K.; Concircular geometry, I. Concircular transformations. Proc. Imp. Acad. Japan (1940) pp. 195–200.Google Scholar