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math.DG2021
A new approach to rotational Weingarten surfaces
Paula Carretero, Ildefonso Castro
Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface. Maki…
math.DG2021★ 2 cited
Spherical curves whose curvature depends on distance to a great circle
Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes
Motivated by a problem posed by David A. Singer in 1999 and by the elastic spherical curves, we study the spherical curves whose curvature is expressed in terms of the distance to…