Abstract
A proof of the existence on a Riemann manifold of a system of canonical cuts such that the canonical form of the manifold will be a convex region with the minimum number of sides.
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R. Fricke and F. Klein, Vorlesungen über die Theorie der Automorphen Funktionen, Leipzig-Berlin (1926).
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Translated from Matematicheskie Zametki, Vol. 9, No. 1, pp. 67–70, January, 1971.
The author wishes to thank É. B. Vinberg for suggesting the problem, and A. B. Katk and G. A. Margulis for their comments on the work.
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Rodnyi, Y.M. Canonical form of a two-dimensional Riemann manifold. Mathematical Notes of the Academy of Sciences of the USSR 9, 38–40 (1971). https://doi.org/10.1007/BF01405049
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DOI: https://doi.org/10.1007/BF01405049