川久保 哲

The Kirchhoff elastic rod is a classical mathematical model of equilibrium configurations of thin elastic rods, and is defined to be a solution of the Euler-Lagrange equations associated to the energy with the effect of bending and twisting. We co...

We give examples of Kirchhoff rod centerlines in five-dimensional space forms which are fully immersed and not helices. We also show that the natural curvatures of these Kirchhoff rod centerlines are expressed explicitly in terms of Jacobi sn func...

The localized induction hierarchy in three-dimensional space forms is studied. In particular, we determine all the generating curves of congruence solutions to each evolution equation belonging to the localized induction hierarchy. Here, a congrue...