INTRINSIC EQUATIONS FOR A GENERALIZED RELAXED ELASTIC LINE ON AN ORIENTED SURFACE
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.39, no.2, pp.197-203, 2010 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 39 Issue: 2
- Publication Date: 2010
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.197-203
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
H. K. Nickerson and Gerald S. Manning (Intrinsic equations for a relaxed elastic line on an oriented surface, Geometriae Dedicate 27, 127-136, 1988) derived the intrinsic equations for a relaxed elastic line on an oriented surface in Euclidean 3-dimensional space E(3). In this paper, we define a generalized relaxed elastic line and derive the intrinsic equations for a generalized relaxed elastic line on an oriented surface in Euclidean 3-dimensional space E(3), and give some applications of the result.