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The value distribution of harmonic mappings between Riemannian n-spaces

Published online by Cambridge University Press:  22 January 2016

Hideo Imai
Hideo Imai*
Affiliation:
Daido Institute of Technology
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We are concerned with the value distribution of a mapping of an open Riemannian n-space (n ≧ 3) into a Riemannian n-space. The value distribution theory of an analytic mapping of Riemann surfaces was initiated by S. S. Chern [1] and developed mainly by L. Sario [8], [9], [10], [11], and then by H. Wu [14], [15]. The most crucial part in Sario’s theory is the introduction of a kernel function on an arbitrary Riemann surface to describe appropriately the proximity of two points. His method indicates that the potential theoretic method is one of the powerful methods in the value distribution theory.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 59 , December 1975 , pp. 45 - 58
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

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