On the variational curves due to the ED-frame field in Euclidean 4-space

Authors

MURADİYE ÇİMDİKER
YASİN ÜNLÜTÜRK

DOI

10.3906/mat-1906-52

Abstract

In this study, we define a variational field for constructing a family of Frenet curvesof the length l lying on a connected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field in Euclidean 4-space. And then, we derive the intrinsic equations for the variational curves and also obtain boundary conditions for this type of curves due to the ED-frame field in Euclidean 4-space.

Keywords

Euclidean 4-space, ED-frame field, variational curve

First Page

1442

Last Page

1452

Recommended Citation

ÇİMDİKER, MURADİYE and ÜNLÜTÜRK, YASİN (2020) "On the variational curves due to the ED-frame field in Euclidean 4-space," Turkish Journal of Mathematics: Vol. 44: No. 4, Article 26. https://doi.org/10.3906/mat-1906-52
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/26