2 papers
math.DG2018
Curves in Lorentz-Minkowski plane with curvature depending on their position
Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes
Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propou…
math.DG2004
Lagrangian submanifolds foliated by (n-1)-spheres in R^2n
Henri Anciaux, Ildefonso Castro, Pascal Romon
We study Lagrangian submanifolds foliated by (n-1)-spheres in R^2n for n>2. We give a parametrization valid for such submanifolds, and refine that description when the submanifold…