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math.DG2009
Some Characterizations of Special Curves in the Euclidean Space
Melih Turgut, Ahmad T Ali
In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of…
math.DG2009★ 2 cited
Determination of time-like helices from intrinsic equations in Minkowski 3-Space
Ahmad T. Ali, Melih Turgut
In this paper, position vectors of a time-like curve with respect to standard frame of Minkowski space E are studied in terms of Frenet equations. First, we prove that positi…
math.DG2009★ 18 cited
Some Characterizations of Slant Helices in the Euclidean Space E^n
Ahmad Ali, Melih Turgut
In this work, notion of a slant helix is extended to space E. Necessary and sufficient conditions to be a slant helix in the Euclidean space are presented. Moreover, we exp…