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Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒

Yıl 2021, Cilt: 16 Sayı: 2, 221 - 230, 15.09.2021

Esra Erdem Mihriban Alyamac Kulahci Münevver Yıldırım Yılmaz

Öz

In this study, the involute of a curve is investigated in Minkowski space-time by using extended Darboux frame field
and curves of the AW (k) type are studied in Minkowski space-time.

Anahtar Kelimeler

Involute curve Minkowski Space-Time Extended Darboux Frame Field

Kaynakça

  • Referans1 Dirişen B.C, Şahin T. Position Vectors of With Respect to Darboux Frame In The Galilean Space . arXiv:1707. 03930v2.(2017).
  • Referans2 Altunkaya B, Aksoyak F. K. Curves of Constant Breadth According To Darboux Frame, Commun. Fac. Sci. Univ. Ank. Series A1. (2017); 66(2):44-52.
  • Referans3 Düldül M, Düldül B, Kuruoğlu N, Özdamar E. Extension of the Darboux frame into Euclidean 4-space and its invariants. Turkish Journal of Mathematics. (2017); 41: 1628-1639.
  • Referans4 Boyer C. A History of Mathematics New York: Wiley. (1968).
  • Referans 5 Turgut M,Yilmaz S. On The Frenet Frame and A Characterization of space-like Involute-Evolute Curve Couple in Minkowski Space-time. Int. Math. Forum. (2008); 3(16): 793-801.
  • Referans6 Soyfidan T, Güngör M. A. On the Quaternionic involute-evolute curves. arXiv: 1311.0621.[math. GT]. (2013).
  • Referans7 As E, Sarıoğlugil A. On the Bishop curvatures of involute-evolute curve couple in 𝔼3. Internatonal Journal of Physical Sciences.(2014); 9(7):140-145 .
  • Referans8 Külahcı M, Bektaş M, Ergüt M. Curves of AW (k) -type in 3-dimensional nul cone. Phys. Lett. A. (2007); 371:275-277.
  • Referans9 Sun J, Pei D. Null Cartan Bertrand curves of AW (k) -type in Minkowski 4-space. School of Mathematics and Statistics. Northeast Normal University. Changchun, 130024, PR China. (2012).
  • Referans10 Arslan K, Çelik Y, Deszcz R, Özgür C. Submanifolds all of whose normal sections are W-curves. Far East J. Math. Sci. (1997); 5(4): 537-544.
  • Referans11 Yoon D.W. General Helices of AW(k) -Type in the Lie Group J. Appl. Math. (2012).
  • Referans12 Arslan K, Özgür C. Curves and Surfaces of AW (k) Type. Geometry and Topology of Submanifolds IX. World Scientific. (1997); 21-26.
  • Referans13 Özgür C, Gezgin F. On some curves of AW(k)-type. Differential Geometry-Dynamical Systems. (2005); 7:74-80.
  • Referans14 Kılıç B,Arslan K. On Curves and Surfaces of AW(k)-type. BAÜ Fen Bil. Enst. Dergisi. (2004); 6(1):52-61.
  • Referans15 O'Neill B. Semi Riemannian Geometry. Academic Press. New York-London.(1983).
  • Referans 16 İlarslan K, Nesovic E. Spacelike and timelike normal curves in Minkowski space time. Publications de L'institut Mathematique, Nouvelle serie. (2009); 85:111-118.
  • Referans17 Düldül B. Extended Darboux frame field in Minkowsk space-time 𝔼14. Malaya Journal of Matematik. (2018); 6(3): 473-477.

Yıl 2021, Cilt: 16 Sayı: 2, 221 - 230, 15.09.2021

Esra Erdem Mihriban Alyamac Kulahci Münevver Yıldırım Yılmaz

Öz

Kaynakça

  • Referans1 Dirişen B.C, Şahin T. Position Vectors of With Respect to Darboux Frame In The Galilean Space . arXiv:1707. 03930v2.(2017).
  • Referans2 Altunkaya B, Aksoyak F. K. Curves of Constant Breadth According To Darboux Frame, Commun. Fac. Sci. Univ. Ank. Series A1. (2017); 66(2):44-52.
  • Referans3 Düldül M, Düldül B, Kuruoğlu N, Özdamar E. Extension of the Darboux frame into Euclidean 4-space and its invariants. Turkish Journal of Mathematics. (2017); 41: 1628-1639.
  • Referans4 Boyer C. A History of Mathematics New York: Wiley. (1968).
  • Referans 5 Turgut M,Yilmaz S. On The Frenet Frame and A Characterization of space-like Involute-Evolute Curve Couple in Minkowski Space-time. Int. Math. Forum. (2008); 3(16): 793-801.
  • Referans6 Soyfidan T, Güngör M. A. On the Quaternionic involute-evolute curves. arXiv: 1311.0621.[math. GT]. (2013).
  • Referans7 As E, Sarıoğlugil A. On the Bishop curvatures of involute-evolute curve couple in 𝔼3. Internatonal Journal of Physical Sciences.(2014); 9(7):140-145 .
  • Referans8 Külahcı M, Bektaş M, Ergüt M. Curves of AW (k) -type in 3-dimensional nul cone. Phys. Lett. A. (2007); 371:275-277.
  • Referans9 Sun J, Pei D. Null Cartan Bertrand curves of AW (k) -type in Minkowski 4-space. School of Mathematics and Statistics. Northeast Normal University. Changchun, 130024, PR China. (2012).
  • Referans10 Arslan K, Çelik Y, Deszcz R, Özgür C. Submanifolds all of whose normal sections are W-curves. Far East J. Math. Sci. (1997); 5(4): 537-544.
  • Referans11 Yoon D.W. General Helices of AW(k) -Type in the Lie Group J. Appl. Math. (2012).
  • Referans12 Arslan K, Özgür C. Curves and Surfaces of AW (k) Type. Geometry and Topology of Submanifolds IX. World Scientific. (1997); 21-26.
  • Referans13 Özgür C, Gezgin F. On some curves of AW(k)-type. Differential Geometry-Dynamical Systems. (2005); 7:74-80.
  • Referans14 Kılıç B,Arslan K. On Curves and Surfaces of AW(k)-type. BAÜ Fen Bil. Enst. Dergisi. (2004); 6(1):52-61.
  • Referans15 O'Neill B. Semi Riemannian Geometry. Academic Press. New York-London.(1983).
  • Referans 16 İlarslan K, Nesovic E. Spacelike and timelike normal curves in Minkowski space time. Publications de L'institut Mathematique, Nouvelle serie. (2009); 85:111-118.
  • Referans17 Düldül B. Extended Darboux frame field in Minkowsk space-time 𝔼14. Malaya Journal of Matematik. (2018); 6(3): 473-477.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm TJST
Yazarlar

Esra Erdem 0000-0001-8656-0196

Mihriban Alyamac Kulahci 0000-0002-8621-5779

Münevver Yıldırım Yılmaz 0000-0003-1278-3981

Yayımlanma Tarihi 15 Eylül 2021
Gönderilme Tarihi 5 Şubat 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 16 Sayı: 2

Kaynak Göster

APA Erdem, E., Alyamac Kulahci, M., & Yılmaz, M. Y. (2021). Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒. Turkish Journal of Science and Technology, 16(2), 221-230.
AMA Erdem E, Alyamac Kulahci M, Yılmaz MY. Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒. TJST. Eylül 2021;16(2):221-230.
Chicago Erdem, Esra, Mihriban Alyamac Kulahci, ve Münevver Yıldırım Yılmaz. “Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒”. Turkish Journal of Science and Technology 16, sy. 2 (Eylül 2021): 221-30.
EndNote Erdem E, Alyamac Kulahci M, Yılmaz MY (01 Eylül 2021) Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒. Turkish Journal of Science and Technology 16 2 221–230.
IEEE E. Erdem, M. Alyamac Kulahci, ve M. Y. Yılmaz, “Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒”, TJST, c. 16, sy. 2, ss. 221–230, 2021.
ISNAD Erdem, Esra vd. “Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒”. Turkish Journal of Science and Technology 16/2 (Eylül 2021), 221-230.
JAMA Erdem E, Alyamac Kulahci M, Yılmaz MY. Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒. TJST. 2021;16:221–230.
MLA Erdem, Esra vd. “Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒”. Turkish Journal of Science and Technology, c. 16, sy. 2, 2021, ss. 221-30.
Vancouver Erdem E, Alyamac Kulahci M, Yılmaz MY. Special Curves According to Extended Darboux Frame Field in 𝔼𝟏 𝟒. TJST. 2021;16(2):221-30.
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