2 papers
math.DG2026
Hyperbolic Geometry and the Helfrich Functional
Bennett Palmer, Alvaro Pampano
The Helfrich model is a fundamental tool for determining the morphology of biological membranes. We relate the geometry of an important class of its equilibria to the geometry of s…
math.DG2026
Axially Symmetric Helfrich Spheres
Rafael López, Bennett Palmer, Ãlvaro Pámpano
Smooth axially symmetric Helfrich topological spheres are either round or else they must satisfy a second order equation known as the reduced membrane equation [17]. In this paper,…