NULL SIMILAR CURVES WITH VARIABLE
TRANSFORMATIONS IN THE MINKOWSKI 3-SPACE $E_1^3$
Mehmet Önder
Department of Mathematics
Faculty of Arts and Sciences
Celal Bayar University
Muradiye Campus, Muradiye, Manisa, 45047, TURKEY
Abstract. In this study, we consider the notion of similar curves for null curves in the Minkowski 3-space $E_1^3$, called null similar curves. We obtain some properties of the null similar curves. We show that null similar curves form a null Bertrand pair. Moreover, we obtain that the family of null slant helices forms a family of null similar curves with variable transformation.
AMS Subject classification: 53B30, 53C40
Keywords and phrases: Cartan frame, null curve, similar curve


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DOI: 10.12732/ijam.v26i6.4

Volume: 26
Issue: 6
Year: 2013