Document Details Document Type : Article In Journal  Document Title : Position vector of a time-like slant helix in Minkowski 3-space Position vector of a time-like slant helix in Minkowski 3-space   Subject : Mathematics  Document Language : English  Abstract : In this paper, position vector of a time-like slant helix with respect to standard frame of Minkowski space E31 is studied in terms of Frenet equations. First, a vector differential equation of third order is constructed to determine position vector of an arbitrary time-like slant helix. In terms of solution, we determine the parametric representation of the slant helices from the intrinsic equations. Thereafter, we apply this method to find the representation of a time-like Salkowski and time-like anti-Salkowski curves as examples of a slant helices, by means of intrinsic equations. Moreover, we present some new characterizations of slant helices and illustrate some examples of our main results.  ISSN : 0022247X  Journal Name : Journal of Mathematical Analysis and Applications  Volume : 365  Issue Number : 2  Publishing Year : 2010 AH 2010 AD  Article Type : Article  Added Date : Saturday, February 6, 2010  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email أحمد علي Ali, Ahmad Researcher Doctorate atali71@yahoo.com M Turgut Turgut, Melih Researcher Doctorate Melih.Turgut@gmail.com Files File Name Type Description  25148.pdf pdf Abstract Back To Researches Page