38 citations · 225 across the 38 of their papers we have counts for
3 papers · 1 filter
Magnetic curves in the real special linear group
Juni-ichi Inoguchi, Marian Ioan Munteanu
We investigate contact magnetic curves in the real special linear group of degree 2. They are geodesics of the Hopf tubes over the projection curve. We prove that periodic contact…
Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles
Jun-ichi Inoguchi, Yoshiki Jikumaru, Kenji Kajiwara +2
In this paper, we consider a class of plane curves called log-aesthetic curves and their generalization which are used in computer aided geometric design. We consider these curves…
Isoperimetric deformations of curves on the Minkowski plane
Hyeongki Park, Jun-ichi Inoguchi, Kenji Kajiwara +3
We formulate an isoperimetric deformation of curves on the Minkowski plane, which is governed by the defocusing mKdV equation. Two classes of exact solutions to the defocusing mKdV…