Properties of Dimensional Ruled Surfaces In The Euclidean n-Spaca E n and Masseys Theorem

In thiş paper we find new clıaracteristic properties for 2-dimensional ruled surfaces M in E” and we give the sufficient and necessary conditions for which the ruled surface M is to be total geodesic. In addition, the Massey’s theorem which is well-known for the ruled surfaces in the Euclidean 3-space, [3], was generalized for the ruled surfaces in E .

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  • Communications, Series A1:Mathematics and Statistics