On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces

摘要

In this work, we studied some elasticity problems for a curve on pseudo-hypersurfaces in pseudo-Euclidean spaces Eυn. We obtained intrinsic equations for an elasticity line depending on boundary conditions and researched if an elastic line is on a geodesic. We derived the Euler–Lagrange equations for an elastic line which is lying on a pseudo-hypersurface.