On the diameters of compact Riemann surfaces
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- by Fwu Ranq Chang PDF
- Proc. Amer. Math. Soc. 65 (1977), 274-276 Request permission
Abstract:
We derive an inequality relating the diameter and the length of a simple closed geodesic on a compact Riemann surface.References
- Lipman Bers, A remark on Mumford’s compactness theorem, Israel J. Math. 12 (1972), 400–407. MR 338210, DOI 10.1007/BF02764631
- Linda Keen, Collars on Riemann surfaces, Discontinuous groups and Riemann surfaces (Proc. Conf., Univ. Maryland, College Park, Md., 1973) Ann. of Math. Studies, No. 79, Princeton Univ. Press, Princeton, N.J., 1974, pp. 263–268. MR 0379833
- Joseph Lehner, Discontinuous groups and automorphic functions, Mathematical Surveys, No. VIII, American Mathematical Society, Providence, R.I., 1964. MR 0164033
- David Mumford, A remark on Mahler’s compactness theorem, Proc. Amer. Math. Soc. 28 (1971), 289–294. MR 276410, DOI 10.1090/S0002-9939-1971-0276410-4
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 274-276
- MSC: Primary 30A46; Secondary 32G15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0447556-8
- MathSciNet review: 0447556