Continuation of Riemann surfaces
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- by Richard Rochberg PDF
- Proc. Amer. Math. Soc. 48 (1975), 82-86 Request permission
Abstract:
It is known that a nonplanar Riemann surface cannot be continued into all compact Riemann surfaces of a fixed positive genus. The Poincaré metric is used to construct a conformal invariant which is used to give an essentially geometric proof of this result.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 82-86
- MSC: Primary 30A30; Secondary 30A46
- DOI: https://doi.org/10.1090/S0002-9939-1975-0396927-5
- MathSciNet review: 0396927