We supply a proof of the single-valued determination of closed locally convex surfaces of genus p≥1 in a space of constant curvature with point type exterior connections.
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V. T. Fomenko, “On the rigidity and the single-valued determination of closed surfaces of genus p≥1 in a Riemannian space,” Dokl. Akad. Nauk SSSR,213, No. 1, 45–48 (1973).
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Translated from Matematicheskie Zametki, Vol. 16, No. 3, pp. 441–445, September, 1974.
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Fomenko, V.T. Single-valued determination of closed surfaces of genus p≥1 in a space of constant curvature. Mathematical Notes of the Academy of Sciences of the USSR 16, 852–854 (1974). https://doi.org/10.1007/BF01148134
- Constant Curvature
- Closed Surface
- Point Type
- Type Exterior
- Exterior Connection