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A Function Algebra on Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Mathematical Institute Nagoya University
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In this note, we treat the problem to determine the conformal structure of the closed surface by the structure of the differentiable function algebra as the normed algebra with a certain norm.

A similar investigation is found in Myers [1]. He concerns himself with determining the Riemannian structure of the compact manifold using a certain normed algebra of differentiable functions.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 15 , August 1959 , pp. 1 - 7
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

[1] Myers, B. S., Algebras of differentiable functions, Proc. Amer. Math. Soc, Vol. 5, 915–922 (1954).Google Scholar
[2] Nakai, M., On a ring isomorphism induced by quasiconformal mappings, Nagoya Math. J., Vol. 14, 201–221 (1959).Google Scholar