In the present paper, the relaxed elastic line of the second type on an oriented surface in the Galilean space $$G_{3}$$G3 is defined. For the relaxed elastic lines of the… Click to show full abstract
In the present paper, the relaxed elastic line of the second type on an oriented surface in the Galilean space $$G_{3}$$G3 is defined. For the relaxed elastic lines of the second type which are lying on a given oriented surface the Euler–Lagrange equations are derived. In particular, we investigate whether they can be geodesic or curvature lines. In the last section we present some examples to confirm our claim.
Keywords:
relaxed elastic;
surface galilean;
type oriented;
second type;
oriented surface
Journal Title: Results in Mathematics
Year Published: 2017
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Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!