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Dergiler / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2023 / Cilt: 16 - Sayı: 1

A Survey on Timelike-Spacelike Involute-Evolute Curve Pair

Mustafa BİLİCİ
Sayfa
49–57
Yayın Tarihi
2023-03-31
DOI
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In addition, the obtained results were supported by one example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper concentrates on the requirements of being an integral curve for the geodesic spray of the natural lift curves of spherical indicatrices of the timelike-spacelike involute-evolute curve pair in Lorentz 3-space.
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Temel Bulgular & Veri:This paper concentrates on the requirements of being an integral curve for the geodesic spray of the natural lift curves of spherical indicatrices of the timelike-spacelike involute-evolute curve pair in Lorentz 3-space.
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Sonuç & Katkı:In addition, the obtained results were supported by one example.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Involute-evolute curve pair · Lorentz space · geodesic spray

Abstract

This paper concentrates on the requirements of being an integral curve for the geodesic spray of the natural lift curves of spherical indicatrices of the timelike-spacelike involute-evolute curve pair in Lorentz 3-space. In addition, the obtained results were supported by one example.

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Bu Makaleye Atıf Yap

BİLİCİ, M. (2023). A Survey on Timelike-Spacelike Involute-Evolute Curve Pair. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 16 - Sayı: 1, 49–57. https://ajindex.com/articles/885821

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Kaynakça (15)

  1. Millman, R. S., Parker, G. D., Elements of Differential Geometry, Prentice-Hall Inc., Englewood Cliffs Press, New Jersey, 1977.
  2. Hacısalihoğlu H. H., Differantial Geometry, Ankara University Faculty of Science Press, Ankara, 2000.
  3. Çalışkan, M., Bilici, M., Some Characterizations for the Pair of Involute-Evolute Curves in Euclidean Space, Bull. of Pure and Appl. Sci., 21 (2002), 2, pp. 289-294.
  4. Thorpe, J. A., Elemantary Topics In Differantial Gemetry, Springer-Verlag, New York, Heidelberg-Berlin, 1979.
  5. Çalışkan, M., Sivridağ, A.İ., Hacısalihoğlu. H. H., Some Characterizations For The Natural Lift Curves and The Geodesic Spray, Commun. Fac. Sci. Ank. Series A1, 33 (1984), pp. 235-242.
  6. Bilici, M., Çalışkan, M., Aydemir, İ., The Natural Lift Curves and the Geodesic Sprays for the Spherical Indicatrices of the Pair of Evolute-Involute Curves, Int. J. of Appl. Math., 11 (2003), 4, pp. 415-420.
  7. Bilici, M., Natural Lift Curves and the Geodesic Sprays for the Spherical Indicatrices of the Involutes of a Timelike Curve in Minkowski 3- space. International Journal of the Physical Sciences, 6 (2011) pp. 4706-4711.
  8. Bilici, M., Ahmad, T. A., On the Natural Lift Curves for the Involute Spherical Indicatrices in Minkowski 3-space. Malaya Journal of Matematik, 5 (2017), 2, pp. 407-415.
  9. Şenyurt, S., Natural lifts and the geodesic sprays for the spherical indicatrices of the Mannheim partner curves in, International Journal of the Physical Sciences, 7 (2012), 16, pp. 2414-2421.
  10. Ali, A.T., New special curves and their spherical indicatrix, Glob. J. Adv. Res. Class. Mod. Geom., 1 (2012), 2, pp. 28-38.
  11. İyigün, E, The tangent spherical image and ccr-curve of a time-like curve in, J. Inequal. Appl., 55 (2013), pp. 1-5.
  12. Bilici, M., Ergün, E., Çalişkan, M., The natural lift curves for the spherical indicatrices of spacelike Bertrand couple in Minkowski 3-space, J. Math. Comput. Sci. 4 (2014), 1, pp. 85-104.
  13. Bilici, M., Çalışkan, M., Some Geometrical Calculations for the Spherical Indicatrices of Involutes of a Timelike Curve in Minkowski 3-Space, Journal of Advances in Mathematıcs 5 (2014), 2, pp. 668-677.
  14. Bilici, M., Ergün, E., Çalıskan, M., A New Approach to Natural Lift Curves of The Spherical Indicatrices of Timelike Bertrand Mate of a Spacelike Curve in Minkowski 3-Space, International Journal of Mathematical Combinatorics 1 (2015), pp. 35-48.
  15. Bilici, M., Çalışkan, M., Some new results on the curvatures of the spherical indicatrices of the involutes of a spacelike curve with