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The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3

Cilt: 30 Sayı: 2 31 Ağustos 2025
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The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3

Öz

In this paper, some features on the tube surface generated by rectifying curves are expressed in Galilean 3-space, and Clairaut’s theorem is generalized on this surface in Galilean space. Furthermore, the specific kinetic energy and the specific angular momentum are expressed on tube surface formed by rectifying curves that are geodesics obtained with the help of Clairaut’s theorem.

Anahtar Kelimeler

Clairaut’s theorem, Galilean space, Rectifying curves, Specific angular momentum, Specific kinetic energy, Tubular surfaces

Kaynakça

  1. Ali, A. T. (2012). Position vectors of curves in the Galilean space G_3, Matematicki Vesnik, 64(249), 200-210.
  2. Almaz, F., & Kulahci, M. A. (2020). Some characterizations on the special tubular surfaces in Galilean space. Prespacetime Journal, 11(7), 626-636.
  3. Almaz, F., & Kulahci, M. A. (2021). The notes on rotational surfaces in Galilean space, International Journal of Geometric Methods in Modern Physics, 18(02), 2150017. https://doi.org/10.1142/S0219887821500171
  4. Almaz, F., & Külahci, M. (2022). A survey on tube surfaces in Galilean 3-space. Politeknik Dergisi, 25(3), 1133-1142. https://doi.org/10.2339/politeknik.747869
  5. Dede, M. (2013). Tubular surfaces in Galilean space. Mathematical Communications, 18(1), 209-217.
  6. Kasap, E., & Akyildiz, F. T. (2006). Surfaces with common geodesic in Minkowski 3-space. Applied Mathematics and Computation, 177(1), 260-270. https://doi.org/10.1016/j.amc.2005.11.005
  7. Karacan, M. K., & Yayli, Y. (2008). On the geodesics of tubular surfaces in Minkowski 3-space. Bulletin of the Malaysian Mathematical Sciences Society. Second Series, 31(1), 1-10.
  8. Kuhnel, W. (2006). Differential geometry curves-surfaces and manifolds, (2nd ed.). Providence, RI, United States, American Math. Soc., 16.
  9. Milin Šipuš, Ž., & Divjak, B. (2012). Surfaces of Constant Curvature in the Pseudo‐Galilean Space. International Journal of Mathematics and Mathematical Sciences, 2012(1), 375264. https://doi.org/10.1155/2012/375264
  10. Öztekin, H. B., & Tatlipinar, S. (2012). On some curves in Galilean plane and 3-dimensional Galilean space. Journal of Dynamical Systems and Geometric Theories, 10(2), 189-196. https://doi.org/10.1080/1726037X.2012.10698620

Kaynak Göster

APA
Almaz, F. (2025). The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 30(2), 572-583. https://doi.org/10.53433/yyufbed.1627975
AMA
1.Almaz F. The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3. YYUFBED. 2025;30(2):572-583. doi:10.53433/yyufbed.1627975
Chicago
Almaz, Fatma. 2025. “The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 (2): 572-83. https://doi.org/10.53433/yyufbed.1627975.
EndNote
Almaz F (01 Ağustos 2025) The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 2 572–583.
IEEE
[1]F. Almaz, “The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3”, YYUFBED, c. 30, sy 2, ss. 572–583, Ağu. 2025, doi: 10.53433/yyufbed.1627975.
ISNAD
Almaz, Fatma. “The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30/2 (01 Ağustos 2025): 572-583. https://doi.org/10.53433/yyufbed.1627975.
JAMA
1.Almaz F. The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3. YYUFBED. 2025;30:572–583.
MLA
Almaz, Fatma. “The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 30, sy 2, Ağustos 2025, ss. 572-83, doi:10.53433/yyufbed.1627975.
Vancouver
1.Fatma Almaz. The Specific Energy and Specific Angular Momentum: On Special Tube Surfaces in G3. YYUFBED. 01 Ağustos 2025;30(2):572-83. doi:10.53433/yyufbed.1627975