Abstract

AbstractIn three‐dimensional Euclidean space E3, the Bonnet theorem says that a curve on a ruled surface in three‐dimensional Euclidean space, having two of the following properties, has also a third one, namely, it can be a geodesic, that it can be the striction line, and that it cuts the generators under constant angle. In this work, in n dimensional Euclidean space En, a short proof of the theorem generalized for (k + 1) dimensional ruled surfaces by Hagen in is given. Copyright © 2013 John Wiley & Sons, Ltd.

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