Singular Points of Tubular Surfaces in Minkowski 3-Space

Authors

  • Murat Kemal Karacan Sutcu Imam University, Faculty of Sciences and Letters, Department of Mathematics, Avsar Kampus, K. Maras, Turkey
  • Hasan Es Sutcu Imam University, Faculty of Sciences and Letters, Department of Mathematics, Avsar Kampus, K. Maras, Turkey
  • Yusuf Yayli Ankara University, Faculty of Sciences, Department of Mathematics, Tandogan-Ankara, Turkey

DOI:

https://doi.org/10.5644/SJM.02.1.08

Keywords:

Two parameter motion, motion along a curve, tubular surface, singular points, parallel surface, Minkowski 3-space

Abstract

In this paper, we examine singular points of tubular surfaces and its parallel surfaces, which is based on two-parameter spatial motion along a curve in Minkowski 3-space. Related results are presented also.

 

2000 Mathematics Subject Classification. 53A17, 53A35

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References

T. Banchoff, T. Gaffney, C. McCrory and D. Dreibelbis, Cusps of Gauss Mappings, Pitman Publisher Ltd. (London), 1982.

M. K. Karacan, Kinematic Applications of Two Parameter Motions, Ankara University, Graduate School and Natural Sciences, PhD Thesis, 2004.

M. K. Karacan, Research On the Tubular Surfaces in Minkowski 3-Space, (submitted).

L. Kula, Split Quaternions and Geometric Applications, Ankara University, Graduate School and Natural Sciences, PhD Thesis, 2003.

J. Walrave, Curves and Surfaces in Minkowski Space, PhD Thesis, 1995.

T. Weinstein, An Introductiın to Lorentz Surfaces, Rutgers University, New Brunswick, New Jersey 08903, 1995.

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Published

12.06.2024

How to Cite

Karacan, M. K., Es, H., & Yayli, Y. (2024). Singular Points of Tubular Surfaces in Minkowski 3-Space. Sarajevo Journal of Mathematics, 2(1), 73–82. https://doi.org/10.5644/SJM.02.1.08

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