38 citations · 68 across the 22 of their papers we have counts for
29 papers
Constant mean curvature disks with circular boundary in the -sphere and in hyperbolic space
Rafael López
We prove that a compact immersed disk of constant mean curvature in or in whose boundary is mapped diffeomorphically onto a circle is an embedded totall…
A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies
Rafael López, Álvaro Pámpano
This paper considers the energies of three different physical scenarios and obtains relations between them in a particular case. The first family of energies consists of the Willmo…
Surfaces of osculating circles in Euclidean space
Rafael López, Cetin Camci, Ali Ucum +1
We introduce a new class of surfaces in Euclidean -space, called surfaces of osculating circles, using the concept of osculating circle of a regular curve. These surfaces contai…
Ruled translating solitons in Minkowski 3-space
Muhittin Evren Aydin, Rafael Lopez
We characterize all ruled translating solitons in Minkowski 3-space. In contrast to the Euclidean space, we find ruled translating solitons that are not cylindrical. These surfaces…
Translating solitons of translation and homothetical types
Muhittin Evren Aydin, Rafael Lopez
We prove that if a translating soliton can be expressed as the sum of two curves and one of these curves is planar, then the other curve is also planar and consequently the surface…
Rotational surfaces of constant astigmatism in space forms
Rafael López, Álvaro Pámpano
A surface in a Riemannian space is called of constant astigmatism if the difference between the principal radii of curvatures at each point is a constant function. In this paper we…