Intrinsic Equations for a Generalized Relaxed Elastic Line on an Oriented Surface
Ali Berkay Gorgulu, Cumali̇ Eki̇ci̇ · DergiPark (Istanbul University) · 2010
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.