Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1770 - 1773 2018-12-01

On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame
On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame

Mustafa yeneroğlu [1]

78 141

In this paper, we investigate inextensible flows of focal curves in Euclidean 3-space associated to developable surfaces to ribbon frame. We present some new generalizations for torsion and curvature of focal curves in associated to developable surfaces. Finally, in case of having a flow of developable surface is inextensible we prove that this surface is not minimal.

 

       Bu makalede, ribbon çatılı açılabilir yüzeylerle birleştirilmiş Öklidyen 3-uzayda fokal eğrilerin inextensible flows larını araştıracağız. Açılabilir yüzeylerle birleştirilmiş de fokal eğrilerin torsiyon ve eğriliği için bazı yeni genelleştirmeler sunacağız. Sonuçta, açılabilir yüzeyin bir flow nun inextensible olması durumunda yüzeyin minimal olmadığını ispatlayacağız.

 

 

  • REFERENCES [1] P. Alegre , K. Arslan, A. Carriazo , C. Murathan and G. Öztürk, Some Special Types of Developable Ruled Surface, Hacettepe Journal of Mathematics and Statistics, Vol. 39 No.3, pp. 319-325, 2010.
  • [2] R. Uribe-Vargas, On vertices, focal curvatures and differential geometry of space curves, Bull. Brazilian Math. Soc. Vol. 36 No. 3, 285—307, 2005.
  • [3] T. Korpinar, E. Turhan and G. Altay,Inextensible flows of developable surfaces associated focal curve of helices in Euclidean 3-space E3, Acta Universitatis Apulensis, Vol. 29, pp. 235-240, 2012.
  • [4] J. Bohr and S. Markvorsen, Ribbon Crystals, Plos one, 8 (10) (2013).
  • [5] M. Yeneroglu, New focal curves according to ribbon frame, Prespacetime Journal, Vol. 7 No. 5, 2016.
  • [6] D.Y. Kwon, F.C. Park and D.P. Chi, Inextensible flows of curves and developable surfaces, Applied Math. Letters, Vol. 18 No. 10, 1156-1162, 2005.
  • [7] L. Giomi, L. Mahadevan, Statistical mechanics of developable ribbons, Phys. Rev. Lett., Vol. 104, 2010.
  • [8] D. E. Blair: Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics, Springer-Verlag 509, Berlin-New York, 1976.
  • [9] M.P. Carmo: Differential Geometry of Curves and Surfaces, Pearson Education, 1976.
Birincil Dil en
Konular Matematik
Yayımlanma Tarihi December 2018
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Mustafa yeneroğlu
Kurum: F.Ü., Fen Fakültesi Matematik Bölümü
Ülke: Turkey


Bibtex @araştırma makalesi { saufenbilder331028, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1770 - 1773}, doi = {10.16984/saufenbilder.331028}, title = {On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame}, key = {cite}, author = {yeneroğlu, Mustafa} }
APA yeneroğlu, M . (2018). On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame. Sakarya University Journal of Science, 22 (6), 1770-1773. DOI: 10.16984/saufenbilder.331028
MLA yeneroğlu, M . "On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame". Sakarya University Journal of Science 22 (2018): 1770-1773 <http://www.saujs.sakarya.edu.tr/issue/31266/331028>
Chicago yeneroğlu, M . "On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame". Sakarya University Journal of Science 22 (2018): 1770-1773
RIS TY - JOUR T1 - On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame AU - Mustafa yeneroğlu Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.331028 DO - 10.16984/saufenbilder.331028 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1770 EP - 1773 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.331028 UR - http://dx.doi.org/10.16984/saufenbilder.331028 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame %A Mustafa yeneroğlu %T On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.331028 %U 10.16984/saufenbilder.331028
ISNAD yeneroğlu, Mustafa . "On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1770-1773. http://dx.doi.org/10.16984/saufenbilder.331028