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On Meusnier theorem for parallel surfaces. (English) Zbl 1392.53010

Summary: In this paper, the geodesic curvature, the normal curvature, the geodesic torsion and the curvature of the image curve on a parallel surface of a given curve on a surface are obtained. Moreover, Meusnier theorem for parallel surfaces are discussed.

MSC:

53A05 Surfaces in Euclidean and related spaces
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