POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3)

Handan Öztekin; Hülya Gün Bozok

Research Article

POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3)

Year 2015, Volume: 8 Issue: 1, 21 - 32, 30.04.2015

Handan Öztekin , Hülya Gün Bozok

Abstract

Keywords

Pseudo-Galilean space, admissible curve, position vector

References

[1] Ali, A.T. and Turgut, M., Position Vector of a timelike slant helix in Minkowski 3-Space, J. Math. Anal. Appl. 365 (2010), 559-569.
[2] Ali, A. T., Determination of the Position Vector of General Helices From Intrinisic Equations in E3, Bull. Math. Anal. Appl. 3 (2011), 198-205.
[3] Chen, B.Y., When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly 110 (2003), 147-152.
[4] Divjak, B., Curves in Pseudo-Galilean Geometry, Annales Univ. Sci. Budapest. 41 (1998), 117-128.
[5] Eisenhart, L. P., A Treatise on the Differential Geometry of Curves and Surfaces, Ginn and Co., 1909.
[6] İlarslan, K. and Nesovi´c, E. and Petrovi´c-Torgeˆsev, M., Some Characterizations of Rectifying Curves in the Minkowski 3-Space, Novi sad J. Math. Vol. 33. No. 2, (2003), 23-32.
[7] İlarslan, K. and Nesovi´c, E., Timelike and Null Normal curves in Minkowski Space E3, Indian J. pure appl. Math., 35(7), (2004), 881-888.
[8] İlarslan K. and Boyacıoğlu, Ö ., Position Vectors of a Spacelike W-Curve in Minkowski Space 1 ,Bull. Korean Math. Soc. 44 (2007), no. 3, 429-438.
[9] Lipschitz, M. M., Schum’s Outline of Theory and Problems of Differential Geometry,McGraw-Hill Book Company, New York, 1969.
[10] O¨ g˘renmi¸s, A. O., O¨ ztekin , H. and Ergu¨t , M., Bertrand Curves In Galilean Space and Their Characterizations, Kragujevac J.Math. 3(2009), 139-147.
[11] Turgut, M. and Ylmaz, S., Contributions to Classical Dierential Geometry of the Curves in E3; Sci. Magna 4(2008), 5-9.

Year 2015, Volume: 8 Issue: 1, 21 - 32, 30.04.2015

Handan Öztekin , Hülya Gün Bozok

Abstract

References

[1] Ali, A.T. and Turgut, M., Position Vector of a timelike slant helix in Minkowski 3-Space, J. Math. Anal. Appl. 365 (2010), 559-569.
[2] Ali, A. T., Determination of the Position Vector of General Helices From Intrinisic Equations in E3, Bull. Math. Anal. Appl. 3 (2011), 198-205.
[3] Chen, B.Y., When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly 110 (2003), 147-152.
[4] Divjak, B., Curves in Pseudo-Galilean Geometry, Annales Univ. Sci. Budapest. 41 (1998), 117-128.
[5] Eisenhart, L. P., A Treatise on the Differential Geometry of Curves and Surfaces, Ginn and Co., 1909.
[6] İlarslan, K. and Nesovi´c, E. and Petrovi´c-Torgeˆsev, M., Some Characterizations of Rectifying Curves in the Minkowski 3-Space, Novi sad J. Math. Vol. 33. No. 2, (2003), 23-32.
[7] İlarslan, K. and Nesovi´c, E., Timelike and Null Normal curves in Minkowski Space E3, Indian J. pure appl. Math., 35(7), (2004), 881-888.
[8] İlarslan K. and Boyacıoğlu, Ö ., Position Vectors of a Spacelike W-Curve in Minkowski Space 1 ,Bull. Korean Math. Soc. 44 (2007), no. 3, 429-438.
[9] Lipschitz, M. M., Schum’s Outline of Theory and Problems of Differential Geometry,McGraw-Hill Book Company, New York, 1969.
[10] O¨ g˘renmi¸s, A. O., O¨ ztekin , H. and Ergu¨t , M., Bertrand Curves In Galilean Space and Their Characterizations, Kragujevac J.Math. 3(2009), 139-147.
[11] Turgut, M. and Ylmaz, S., Contributions to Classical Dierential Geometry of the Curves in E3; Sci. Magna 4(2008), 5-9.

There are 11 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Handan Öztekin Hülya Gün Bozok
Publication Date	April 30, 2015
Published in Issue	Year 2015 Volume: 8 Issue: 1

Cite

APA	Öztekin, H., & Bozok, H. G. (2015). POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3). International Electronic Journal of Geometry, 8(1), 21-32.
AMA	Öztekin H, Bozok HG. POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3). Int. Electron. J. Geom. April 2015;8(1):21-32.
Chicago	Öztekin, Handan, and Hülya Gün Bozok. “POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3)”. International Electronic Journal of Geometry 8, no. 1 (April 2015): 21-32.
EndNote	Öztekin H, Bozok HG (April 1, 2015) POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3). International Electronic Journal of Geometry 8 1 21–32.
IEEE	H. Öztekin and H. G. Bozok, “POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3)”, Int. Electron. J. Geom., vol. 8, no. 1, pp. 21–32, 2015.
ISNAD	Öztekin, Handan - Bozok, Hülya Gün. “POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3)”. International Electronic Journal of Geometry 8/1 (April 2015), 21-32.
JAMA	Öztekin H, Bozok HG. POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3). Int. Electron. J. Geom. 2015;8:21–32.
MLA	Öztekin, Handan and Hülya Gün Bozok. “POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3)”. International Electronic Journal of Geometry, vol. 8, no. 1, 2015, pp. 21-32.
Vancouver	Öztekin H, Bozok HG. POSITION VECTORS OF ADMISSIBLE CURVES IN 3-DIMENSIONAL PSEUDO-GALILEAN SPACE G(1,3). Int. Electron. J. Geom. 2015;8(1):21-32.