A note on inextensible flows of curves on oriented surface

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DOI:

https://doi.org/10.4067/S0719-06462014000300002

Abstract

In this paper, we investigate a general formulation for inextensible flows of curves on an oriented surface in R3. We obtain necessary and sufficient conditions as partial differential equations involving the geodesic curvature and the geodesic torsion for inextensible curve flow lying on an oriented surface. Moreover, some special cases of inextensible curves on oriented surface are given.

Keywords

Curvature flows , inextensible , oriented surface
  • Onder Gokmen Yildiz Department of Mathematics, Faculty of Arts and Sciences, Bilecik Seyh Edebali University, Bilecik, Turkey.
  • Soley Ersoy Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya, Turkey.
  • Melek Masal Department of Mathematics Teaching, Faculty of Education, Sakarya University, Sakarya, Turkey.
  • Pages: 11-19
  • Date Published: 2014-10-01
  • Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

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Published

2014-10-01

How to Cite

[1]
O. Gokmen Yildiz, S. Ersoy, and M. Masal, “A note on inextensible flows of curves on oriented surface”, CUBO, vol. 16, no. 3, pp. 11–19, Oct. 2014.

Issue

Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

Section

Articles