Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2013, Cilt: 6 Sayı: 2, 110 - 117, 30.10.2013

Şeyda Kılıçoğlu H. Hilmi Hacısalihoğlu

Öz

Kaynakça

  • [1] Bishop, L.R., There is more than one way to frame a curve. Amer. Math. Monthly, (1975),Vol- ume 82, Issue 3, 246-251.
  • [2] Bukcu, B. and Karacan M.K., Special Bishop Motion and Bishop Darboux Rotation Axis of space curve. Journal of Dynamical Systems and Geometric Theories. (2008), 6(1), 27-34.
  • [3] Catalan, E., Sur les surfaces réglées dont l’aire est un minimum. J. Math. Pure. Appl. , (1842), 7, 203-211.
  • [4] do Carmo, M. P., Differential Geometry of Curves and Surfaces. Prentice-Hall, ISBN 0-13- 212589-7, 1976.
  • [5] do Carmo, M. P., The Helicoid.” §3.5B in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, (1986), pp. 44-45.
  • [6] Eisenhart, Luther P., A Treatise on the Differential Geometry of Curves and Surfaces. Dover, ISBN 0-486-43820-1, 2004.
  • [7] Graves, L. K., Codimension one isometric immersions between Lorentz spaces. Trans. A.M.S., 252 (1979), 367–392.
  • [8] Hanson, A. J., Hui Ma, Parallel Transport Approach To Curve Framing. Indiana University,Techreports- TR425, January 11(1995).
  • [9] Hanson, A. J., Hui Ma, Quaternion Frame Approach to Streamline Visualization. Ieee Trans- actions On Visualization And Computer Graphics, Vol. I , No. 2, June 1995.
  • [10] Körpınar T. and Ba¸s S., On Characterization Of B-Focal curves In E3. Bol. Soc. Paran. Mat. (2013), 31 (1), 175-178.
  • [11] Shifrin T., Differential Geometry: A First Course in Curves and Surfaces. University of Georgia, Preliminary Version, 2008.
  • [12] Springerlink, Encyclopedia of Mathematics. Springer-Verlag, Berlin Heidelberg New York, 2002.

ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE

Yıl 2013, Cilt: 6 Sayı: 2, 110 - 117, 30.10.2013

Şeyda Kılıçoğlu H. Hilmi Hacısalihoğlu

Öz


Anahtar Kelimeler

Bishop frame Weingarten map fundamental forms

Kaynakça

  • [1] Bishop, L.R., There is more than one way to frame a curve. Amer. Math. Monthly, (1975),Vol- ume 82, Issue 3, 246-251.
  • [2] Bukcu, B. and Karacan M.K., Special Bishop Motion and Bishop Darboux Rotation Axis of space curve. Journal of Dynamical Systems and Geometric Theories. (2008), 6(1), 27-34.
  • [3] Catalan, E., Sur les surfaces réglées dont l’aire est un minimum. J. Math. Pure. Appl. , (1842), 7, 203-211.
  • [4] do Carmo, M. P., Differential Geometry of Curves and Surfaces. Prentice-Hall, ISBN 0-13- 212589-7, 1976.
  • [5] do Carmo, M. P., The Helicoid.” §3.5B in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, (1986), pp. 44-45.
  • [6] Eisenhart, Luther P., A Treatise on the Differential Geometry of Curves and Surfaces. Dover, ISBN 0-486-43820-1, 2004.
  • [7] Graves, L. K., Codimension one isometric immersions between Lorentz spaces. Trans. A.M.S., 252 (1979), 367–392.
  • [8] Hanson, A. J., Hui Ma, Parallel Transport Approach To Curve Framing. Indiana University,Techreports- TR425, January 11(1995).
  • [9] Hanson, A. J., Hui Ma, Quaternion Frame Approach to Streamline Visualization. Ieee Trans- actions On Visualization And Computer Graphics, Vol. I , No. 2, June 1995.
  • [10] Körpınar T. and Ba¸s S., On Characterization Of B-Focal curves In E3. Bol. Soc. Paran. Mat. (2013), 31 (1), 175-178.
  • [11] Shifrin T., Differential Geometry: A First Course in Curves and Surfaces. University of Georgia, Preliminary Version, 2008.
  • [12] Springerlink, Encyclopedia of Mathematics. Springer-Verlag, Berlin Heidelberg New York, 2002.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Şeyda Kılıçoğlu

H. Hilmi Hacısalihoğlu Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 6 Sayı: 2

Kaynak Göster

APA Kılıçoğlu, Ş., & Hacısalihoğlu, H. H. (2013). ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE. International Electronic Journal of Geometry, 6(2), 110-117.
AMA Kılıçoğlu Ş, Hacısalihoğlu HH. ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE. Int. Electron. J. Geom. Ekim 2013;6(2):110-117.
Chicago Kılıçoğlu, Şeyda, ve H. Hilmi Hacısalihoğlu. “ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE”. International Electronic Journal of Geometry 6, sy. 2 (Ekim 2013): 110-17.
EndNote Kılıçoğlu Ş, Hacısalihoğlu HH (01 Ekim 2013) ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE. International Electronic Journal of Geometry 6 2 110–117.
IEEE Ş. Kılıçoğlu ve H. H. Hacısalihoğlu, “ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE”, Int. Electron. J. Geom., c. 6, sy. 2, ss. 110–117, 2013.
ISNAD Kılıçoğlu, Şeyda - Hacısalihoğlu, H. Hilmi. “ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE”. International Electronic Journal of Geometry 6/2 (Ekim 2013), 110-117.
JAMA Kılıçoğlu Ş, Hacısalihoğlu HH. ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE. Int. Electron. J. Geom. 2013;6:110–117.
MLA Kılıçoğlu, Şeyda ve H. Hilmi Hacısalihoğlu. “ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE”. International Electronic Journal of Geometry, c. 6, sy. 2, 2013, ss. 110-7.
Vancouver Kılıçoğlu Ş, Hacısalihoğlu HH. ON THE RULED SURFACES WHOSE FRAME IS THE BISHOP FRAME IN THE EUCLIDEAN 3-SPACE. Int. Electron. J. Geom. 2013;6(2):110-7.