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Year 2015, Volume: 3 Issue: 1, 65 - 74, 15.05.2015

Ayşe Çiçek Gözütok

https://doi.org/10.36753/mathenot.421216
https://izlik.org/JA57DU55LD

Abstract

References

  • [1] Arslan, K., West, A., Product submanifolds with pointwise 3-planar normal sections, Glasg. Math. J., 37 (1995), no. 1, 73-81.
  • [2] Arslan, K., Ozgür, C., ¨ On normal sections of Veronese submanifold, Balkan J. Geom. Appl., 4 (1999), no. 1, 1-8.
  • [3] Arslan, K., Özgür, C., Curves and surfaces of AW(k)−type, Geometry and topology of submanifolds, IX (Valenciennes/Lyon/Leuven, 1997), 21-26, world Sci. Publishing, River Edge, NJ, 1999.
  • [4] Arslan, K., Ozgür, C., On normal sections of Stiefel submanifold, Balkan J. Geom. Appl., 6 (2001), no. 1, 7-14.
  • [5] Arslan, K., Çelik, Y., Deszcz, R., Ozgür, C., ¨ Submanifolds all of whose normal sections are W−curves, Far East J. Math. Sci., 5 (1997), no. 4, 537-544.
  • [6] Özgür, C., Gezgin, F., On some curves of AW(k)−type, Diff. Geom. Dyn. Syst., 7 (2005), 74-80.
  • [7] Külahçı, M., Bektaş, M., Ergüt, M., Curves of AW(k)−type in 3-dimensional null cone, Phys. Lett. A., 371 (2007), 275-277.
  • [8] K¨ulahçı, M., Bektaş, M., Ergüt, M., On harmonic curvatures of null curves of the AW(k)−type in Lorentzian space, Z. Naturforsch, 63a (2008), 248-252.
  • [9] Ersoy, S., Masal, M., Tosun, M., On Mannheim Partner Curves of AW(k)−type, Uzbek. Mat. Zh., 1 (2014), 197-107.
  • [10] Lui, H., Wang, F., Mannheim Partner Curves in 3−Space, Journal of Geometry, 88 (2008), no. 1-2, 120-126.
  • [11] Kahraman, T., Onder, M., Kazaz, M., U˘gurlu, H. H., ¨ Some Characterization of Mannheim Partner Curves in the Minkowski 3−Space E31, Proceedings of the Estonian Academy of Sciences, 60 (2011), no. 4, 210-220.
  • [12] Petrovi´c-Torgasev, M., Sucurovic, E., Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H20in E31, Kragujevac J. Math., 22(2000), 71-82.
  • [13] Birman, G. S., Nomizu, K., Trigonometry in Lorentzian geometry, Amer. Math. Month., 91 (1984), no. 9, 543-549.
  • [14] O’Neill, B. Semi-Riemannian Geometry with applications to relativity, Acedemic Press, London, 1983.

MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE

Year 2015, Volume: 3 Issue: 1, 65 - 74, 15.05.2015

Ayşe Çiçek Gözütok

https://doi.org/10.36753/mathenot.421216
https://izlik.org/JA57DU55LD

Abstract


Keywords

Mannheim partner curves AW(k)−type curves Minkowski 3−Space

References

  • [1] Arslan, K., West, A., Product submanifolds with pointwise 3-planar normal sections, Glasg. Math. J., 37 (1995), no. 1, 73-81.
  • [2] Arslan, K., Ozgür, C., ¨ On normal sections of Veronese submanifold, Balkan J. Geom. Appl., 4 (1999), no. 1, 1-8.
  • [3] Arslan, K., Özgür, C., Curves and surfaces of AW(k)−type, Geometry and topology of submanifolds, IX (Valenciennes/Lyon/Leuven, 1997), 21-26, world Sci. Publishing, River Edge, NJ, 1999.
  • [4] Arslan, K., Ozgür, C., On normal sections of Stiefel submanifold, Balkan J. Geom. Appl., 6 (2001), no. 1, 7-14.
  • [5] Arslan, K., Çelik, Y., Deszcz, R., Ozgür, C., ¨ Submanifolds all of whose normal sections are W−curves, Far East J. Math. Sci., 5 (1997), no. 4, 537-544.
  • [6] Özgür, C., Gezgin, F., On some curves of AW(k)−type, Diff. Geom. Dyn. Syst., 7 (2005), 74-80.
  • [7] Külahçı, M., Bektaş, M., Ergüt, M., Curves of AW(k)−type in 3-dimensional null cone, Phys. Lett. A., 371 (2007), 275-277.
  • [8] K¨ulahçı, M., Bektaş, M., Ergüt, M., On harmonic curvatures of null curves of the AW(k)−type in Lorentzian space, Z. Naturforsch, 63a (2008), 248-252.
  • [9] Ersoy, S., Masal, M., Tosun, M., On Mannheim Partner Curves of AW(k)−type, Uzbek. Mat. Zh., 1 (2014), 197-107.
  • [10] Lui, H., Wang, F., Mannheim Partner Curves in 3−Space, Journal of Geometry, 88 (2008), no. 1-2, 120-126.
  • [11] Kahraman, T., Onder, M., Kazaz, M., U˘gurlu, H. H., ¨ Some Characterization of Mannheim Partner Curves in the Minkowski 3−Space E31, Proceedings of the Estonian Academy of Sciences, 60 (2011), no. 4, 210-220.
  • [12] Petrovi´c-Torgasev, M., Sucurovic, E., Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H20in E31, Kragujevac J. Math., 22(2000), 71-82.
  • [13] Birman, G. S., Nomizu, K., Trigonometry in Lorentzian geometry, Amer. Math. Month., 91 (1984), no. 9, 543-549.
  • [14] O’Neill, B. Semi-Riemannian Geometry with applications to relativity, Acedemic Press, London, 1983.
There are 14 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Ayşe Çiçek Gözütok

Submission Date January 16, 2015
Publication Date May 15, 2015
DOI https://doi.org/10.36753/mathenot.421216
IZ https://izlik.org/JA57DU55LD
Published in Issue Year 2015 Volume: 3 Issue: 1

Cite

APA Çiçek Gözütok, A. (2015). MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE. Mathematical Sciences and Applications E-Notes, 3(1), 65-74. https://doi.org/10.36753/mathenot.421216
AMA 1.Çiçek Gözütok A. MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE. Math. Sci. Appl. E-Notes. 2015;3(1):65-74. doi:10.36753/mathenot.421216
Chicago Çiçek Gözütok, Ayşe. 2015. “MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE”. Mathematical Sciences and Applications E-Notes 3 (1): 65-74. https://doi.org/10.36753/mathenot.421216.
EndNote Çiçek Gözütok A (May 1, 2015) MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE. Mathematical Sciences and Applications E-Notes 3 1 65–74.
IEEE [1]A. Çiçek Gözütok, “MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 65–74, May 2015, doi: 10.36753/mathenot.421216.
ISNAD Çiçek Gözütok, Ayşe. “MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE”. Mathematical Sciences and Applications E-Notes 3/1 (May 1, 2015): 65-74. https://doi.org/10.36753/mathenot.421216.
JAMA 1.Çiçek Gözütok A. MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE. Math. Sci. Appl. E-Notes. 2015;3:65–74.
MLA Çiçek Gözütok, Ayşe. “MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, May 2015, pp. 65-74, doi:10.36753/mathenot.421216.
Vancouver 1.Ayşe Çiçek Gözütok. MANNHEIM PARTNER CURVES OF AW(k)−TYPE IN MINKOWSKI 3−SPACE. Math. Sci. Appl. E-Notes. 2015 May 1;3(1):65-74. doi:10.36753/mathenot.421216

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