Geodesic
Monotone curvature indicatrices of complete surfaces of revolution
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 279-282.

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A complete classification of bijective relations between principal curvatures of $C^2$ surfaces of revolution is given.
Keywords: surfaces of revolution, curvature indicatrix. 
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V. V. Ivanov. Monotone curvature indicatrices of complete surfaces of revolution. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 279-282. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a35/

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