Browsing by Author "Kiziltug, S"

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    Bertrand and Mannheim Partner D-curves on Parallel Surfaces
    (SOC PARANAENSE MATEMATICA) Kiziltug, S; Önder, M; Tarakçi, Ö
    In this paper we study Bertrand and Mannheim partner D-curves on parallel surface. Using the definition of parallel surfaces, first we find images of two curves lying on two different surfaces and satisfying the conditions to be Bertrand partner D-curve or Mannheim partner D-curve. Then we obtain relationships between Bertrand and Mannheim partner D-curves and their image curves.
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    ASSOCIATED CURVES OF FRENET CURVES IN THREE DIMENSIONAL COMPACT LIE GROUP
    (UNIV MISKOLC INST MATH) Kiziltug, S; Önder, M
    General definition of associated curves of a Frenet curve is given in a three dimensional compact Lie group G. The principal normal direction curve and principal normal donor curve are introduced and some characterizations for these curves are obtained in G. Later, the relationships between a principal normal direction curve and some special curves such as helix, slant helix or curve with a special torsion are obtained.