HYPERELASTIC CURVES ALONG IMMERSIONS
Makaleler > Tam Makale · 2021
Yazarlar: Bayram ŞAHİN, Gözde Özkan Tükel, Tunahan Turhan
MISKOLC MATHEMATICAL NOTES, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2021, cilt 22, ss 915-927
Özet
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