BibTex RIS Kaynak Göster

Curves of constant breadth according to Darboux frame

Yıl 2017, Cilt: 66 Sayı: 2, 44 - 52, 01.08.2017
https://doi.org/10.1501/Commua1_0000000799

Öz

In this paper, we investigate constant breadth curves on a surfaceaccording to Darboux frame and give some characterizations of these curves

Kaynakça

  • Akdo¼gan Z., Ma¼gden A., Some characterizations of curves of constant breadth in Enspace, Turk. J. Math., 25, 433-444, 2001.
  • Ball, N.H., On ovals, American Mathematical Monthly, 37(3), 348-353, 1930.
  • Euler L., De curvis triangularibus, Acta Acad. Petropol, 3-30, 1778.
  • Fujiwara M., On space curves of constant breadth, Tohoku Math. J., 5, 179-184,1914.
  • Kocayi¼git H., Önder, M., Space curves of constant breadth in Minkowski 3-space, Annali di Mathematica 192, 805–814, 2013.
  • Köse Ö., Some properties of ovals and curves of constant width in a plane, Do¼ga Math. 8, 126, 1984.
  • Köse Ö., On space curves of constant breadth, Do¼ga Math. 10, 11-14, 1986.
  • Ma¼gden A. Köse Ö., On the curves of constant breadth in E4space, Turk. J. Math., 21, 284, 1997.
  • Mellish, A.P., Notes on diğerential geometry, Annals of Math., 32(1), 181-190, 1931.
  • Önder M., Kocayi¼git H., Candan E. Diğerential equations characterizing timelike and space- like curves of constant breadth in Minkowski 3-space E1, J. Korean Math. Soc. 48(4), 849-866, Sabuncuo¼glu A., Diğerential Geometry, Nobel Press, Ankara, 2006.
  • Struik, D.J., Diğerential geometry in the large, Bulletin Amer. Math. Soc., 37, 49-62, 1931.
  • Yılmaz S., Turgut M., On the timelike curves of constant breadth in Minkowski 3-space, International J. Math. Combin 3, 34-39, 2008.
  • Current address : Ahi Evran University, Division of Elementary Mathematics Education, Kır¸se- hir, TURKEY E-mail address, B. Altunkaya: bulent_altunkaya@hotmail.com E-mail address, F. Kahraman Aksoyak: ferda.kahraman@yahoo.com
Yıl 2017, Cilt: 66 Sayı: 2, 44 - 52, 01.08.2017
https://doi.org/10.1501/Commua1_0000000799

Öz

Kaynakça

  • Akdo¼gan Z., Ma¼gden A., Some characterizations of curves of constant breadth in Enspace, Turk. J. Math., 25, 433-444, 2001.
  • Ball, N.H., On ovals, American Mathematical Monthly, 37(3), 348-353, 1930.
  • Euler L., De curvis triangularibus, Acta Acad. Petropol, 3-30, 1778.
  • Fujiwara M., On space curves of constant breadth, Tohoku Math. J., 5, 179-184,1914.
  • Kocayi¼git H., Önder, M., Space curves of constant breadth in Minkowski 3-space, Annali di Mathematica 192, 805–814, 2013.
  • Köse Ö., Some properties of ovals and curves of constant width in a plane, Do¼ga Math. 8, 126, 1984.
  • Köse Ö., On space curves of constant breadth, Do¼ga Math. 10, 11-14, 1986.
  • Ma¼gden A. Köse Ö., On the curves of constant breadth in E4space, Turk. J. Math., 21, 284, 1997.
  • Mellish, A.P., Notes on diğerential geometry, Annals of Math., 32(1), 181-190, 1931.
  • Önder M., Kocayi¼git H., Candan E. Diğerential equations characterizing timelike and space- like curves of constant breadth in Minkowski 3-space E1, J. Korean Math. Soc. 48(4), 849-866, Sabuncuo¼glu A., Diğerential Geometry, Nobel Press, Ankara, 2006.
  • Struik, D.J., Diğerential geometry in the large, Bulletin Amer. Math. Soc., 37, 49-62, 1931.
  • Yılmaz S., Turgut M., On the timelike curves of constant breadth in Minkowski 3-space, International J. Math. Combin 3, 34-39, 2008.
  • Current address : Ahi Evran University, Division of Elementary Mathematics Education, Kır¸se- hir, TURKEY E-mail address, B. Altunkaya: bulent_altunkaya@hotmail.com E-mail address, F. Kahraman Aksoyak: ferda.kahraman@yahoo.com
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Bülent Altunkaya Bu kişi benim

Ferdag Kahraman Aksoyak Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 66 Sayı: 2

Kaynak Göster

APA Altunkaya, B., & Kahraman Aksoyak, F. (2017). Curves of constant breadth according to Darboux frame. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(2), 44-52. https://doi.org/10.1501/Commua1_0000000799
AMA Altunkaya B, Kahraman Aksoyak F. Curves of constant breadth according to Darboux frame. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2017;66(2):44-52. doi:10.1501/Commua1_0000000799
Chicago Altunkaya, Bülent, ve Ferdag Kahraman Aksoyak. “Curves of Constant Breadth According to Darboux Frame”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 2 (Ağustos 2017): 44-52. https://doi.org/10.1501/Commua1_0000000799.
EndNote Altunkaya B, Kahraman Aksoyak F (01 Ağustos 2017) Curves of constant breadth according to Darboux frame. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 2 44–52.
IEEE B. Altunkaya ve F. Kahraman Aksoyak, “Curves of constant breadth according to Darboux frame”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 2, ss. 44–52, 2017, doi: 10.1501/Commua1_0000000799.
ISNAD Altunkaya, Bülent - Kahraman Aksoyak, Ferdag. “Curves of Constant Breadth According to Darboux Frame”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/2 (Ağustos 2017), 44-52. https://doi.org/10.1501/Commua1_0000000799.
JAMA Altunkaya B, Kahraman Aksoyak F. Curves of constant breadth according to Darboux frame. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:44–52.
MLA Altunkaya, Bülent ve Ferdag Kahraman Aksoyak. “Curves of Constant Breadth According to Darboux Frame”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 2, 2017, ss. 44-52, doi:10.1501/Commua1_0000000799.
Vancouver Altunkaya B, Kahraman Aksoyak F. Curves of constant breadth according to Darboux frame. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(2):44-52.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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