Some Characteristic Properties of AW(k)-type Curves on Dual Unit Sphere

• Günay Öztürk ^[1] ; Ahmet Küçük ^[2] ; Kadri Arslan ^[3]
  1. [1] Faculty of Art and Sciences, Kocaeli. Turkey
  2. [2] Faculty of Education, Kocaeli. Turkey
  3. [3] Faculty of Art and Sciences, Bursa. Turkey

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• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 29, Nº 1-2, 2014, págs. 167-175
• Idioma: inglés
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• Resumen

  • In this paper, we have considered some properties of AW(k)-type curves on the dual unit sphere. We have given some relationships between the curvatures of the base curves of the ruled surfaces in R 3 which correspond to the dual spherical curves of these type. And also, we have examined the relations between the real integral invariants (the angle of pitch and the pitch) of the closed ruled surfaces in R 3 which correspond to the dual closed spherical curves drawn by the dual unit vectors ⌢⃗ N1, ⌢⃗ N2 and ⌢⃗ N3 on dual unit sphere