Short communications

Monotone curvature indicatrices of complete surfaces of revolution

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: A complete classification of bijective relations between principal curvatures of $C^2$ surfaces of revolution is given.

Keywords: surfaces of revolution, curvature indicatrix.

UDC: 514.7

MSC: 53A05

Received June 15, 2008, published June 16, 2008

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