IJPAM: Volume 103, No. 2 (2015)

A NOTE ON SPACELIKE CURVES ACCORDING
TO TYPE-2 BISHOP FRAME IN
MINKOWSKI 3-SPACE $E_{1}^{3}$

Süha Yılmaz$^{1}$, Yasin Ünlütürk$^{2}$
$^{^{1}}$Buca Faculty of Education
Dokuz Eylül University
35150, Buca-Izmir, TURKEY
$^{2}$Department of Mathematics
Kırklareli University
39000, Kırklareli, TURKEY


Abstract. In this work, we give some characterizations of spacelike curve with spacelike principal normal vector according to type-2 Bishop frame in Minkowski 3-space $E_{1}^{3}.$ Also, we obtain position vector of spacelike curves on Lorentzian sphere with respect to the type-2 Bishop curvatures. Finally, we establish some relations among Frenet apparatus of an evolute curve and type-2 Bishop apparatus of an involute curve in Minkowski 3-space.

Received: June 3, 2015

AMS Subject Classification: 53A35, 53A40, 53B25

Key Words and Phrases: Minkowski 3-space, involute-evolute curves couple, inclined curve, type-2 Bishop apparatus

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DOI: 10.12732/ijpam.v103i2.16 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 2
Pages: 321 - 332


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