Notes on relative normalizations of ruled surfaces in the three-dimensional Euclidean space
Stylianos Stamatakis,
Ioanna-Iris Papadopoulou
Abstract:This paper deals with relative normalizations of skew ruled surfaces in the Euclidean space E 3 . In section 2 we investigate some new formulae concerning the Pick invariant, the relative curvature, the relative mean curvature and the curvature of the relative metric of a relatively normalized ruled surface Φ and in section 3 we introduce some special normalizations of it. All ruled surfaces and their corresponding normalizations that make Φ an improper or a proper relative sphere are determined in section 4. … Show more
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