On the sectional curvatures of the generalized ruled surfaces correspond to each other under the helical motion of order k in the Euclidean space En

Abstract

The purpose of this paper is to present a summary of known results (chapter I, chapter II) and to discuss the sectional curvatures of the fixed and the moving axoids correspond to each other under a helical motion of order k in En . Moreover it is proven that the fixed and the moving axoids of En are mapped upon each other by the same values of the sectional curvature