On relaxed elastic lines of second kind on a curved hypersurface in the n-dimensional euclidean space
Journal for Geometry and Graphics, vol.18, no.1, pp.81-95, 2014 (Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 1
- Publication Date: 2014
- Journal Name: Journal for Geometry and Graphics
- Journal Indexes: Scopus
- Page Numbers: pp.81-95
- Keywords: Euler-Lagrange equation, Geodesic, Intrinsic equation, Relaxed elastic line
- Ondokuz Mayıs University Affiliated: Yes
Abstract
In the present paper, the relaxed elastic lines of second kind on an oriented surface in the Euclidean n-space are defined and the Euler-Lagrange equations are derived. Furthermore, an example is presented. Special emphasis is laid on the particular case when these curves are at the same time geodesic. © 2014 Heldermann Verlag.