Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-10T09:25:28.002Z Has data issue: false hasContentIssue false
  • English
  • Français

A Function Algebra on Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Mathematical Institute Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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