3 papers
math.DG2024
Stability of Membranes
Bennett Palmer, Alvaro Pampano
In [12], the authors studied a particular class of equilibrium solutions of the Helfrich energy which satisfy a second order condition called the reduced membrane equation. In this…
math.DG2023
Integrable Flows on Null Curves in the Anti-de Sitter 3-Space
Emilio Musso, Alvaro Pampano
We formulate integrable flows related to the KdV hierarchy on null curves in the anti-de Sitter 3-space (). Exploiting the specific properties of the geometry of ${\rm A…
math.DG2023
Closed -Elasticae in the Hyperbolic Plane
Emilio Musso, Alvaro Pampano
We study critical trajectories in the hyperbolic plane for the -Bernoulli's bending energy with length constraint. Critical trajectories with periodic curvature are classified…