9 citations · 34 across the 21 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.DG2021
Stationary soap films with vertical potentials
Rafael López, Alvaro Pámpano
We classify cylindrical surfaces in the Euclidean space whose mean curvature is a th-power of the distance to a reference plane. The generating curves of these surfaces, called…
math.DG2021★ 5 cited
Critical Tori for Mean Curvature Energies in Killing Submersions
Alvaro Pampano
We study surface energies depending on the mean curvature in total spaces of Killing submersions, which extend the classical notion of Willmore energy. Based on a symmetry reductio…
math.DG2021
The Euler-Helfrich Functional
Bennett Palmer, Alvaro Pampano
We investigate equilibrium configurations for surface energies which contain the squared norm of the difference of the mean curvature H and the spontaneous curvature co…