HYPERELASTIC CURVES ALONG IMMERSIONS
Articles > Article · 2021
Authors: Bayram ŞAHİN, Gözde Özkan Tükel, Tunahan Turhan
MISKOLC MATHEMATICAL NOTES, Journal Indexed in SCI Expanded, International, Scopus, 2021, vol 22, pp 915-927
Summary
Hyperelastic curves in a Riemannian manifold are solutions of a constrained variational problem and characterized by Euler–Lagrange equations. We study the effect of hyperelasticcurves on the geometry of isometric immersions. We investigate the relation betweenhyperelastic curves and umbilical submanifolds and apply the results to analyze classical elasticcurves. The case of a Riemannian manifold with constant sectional curvature is also discussedand some applications are presented for illustrating the results