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The research was supported by the AMS.
Translated from0Sibirskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 903–910, July–August, 1995.
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Toponogov, V.A. On conditions for existence of umbilical points on a convex surface. Sib Math J 36, 780–786 (1995). https://doi.org/10.1007/BF02107335
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DOI: https://doi.org/10.1007/BF02107335