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Curves of special types in 3-dimensional spaces

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2025
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Abstract (EN)

In this thesis, Smrandache curves in three-dimensional Euclidean and Minkowski spaces are examined. The main objective of the thesis is to define Smarandache curves formed by TN, TB, NB and TNB in Pseudo null and Null curves, and to characterize these curves in terms of their curvatures. The study first discusses the basic concepts of differential geometry. Then, Smarandache curves in three-dimensional Euclidean space are defined, and their curvature and torsion characterizations are provided. Finally, for pseudo null and null curves in Minkowski space, specific Smarandache pairs are presented, and their curvatures and torsions are calculated.

Author

Sultan Ceritli

How to Cite

Sultan Ceritli (Master Thesis). Curves of special types in 3-dimensional spaces, 2025, Fırat University.

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