Some Characterizations of Inclined Curves in Euclidean E Space

نویسندگان

  • Ahmad T. Ali
  • Rafael López
چکیده

We consider a unit speed curve α in the Euclidean ndimensional space E and denote the Frenet frame of α by {V1, . . . ,Vn}. We say that α is a cylindrical helix if its tangent vector V1 makes a constant angle with a fixed direction U . In this work we give different characterizations of such curves in terms of their curvatures. AMS Mathematics Subject Classification (2000): 53C40, 53C50

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تاریخ انتشار 2010