Vesicle Model with Bending Energy Revisited
The equations governing the conditions of mechanical equilibrium in fluid membranes subject to bending are revisited thanks to the principle of virtual work. The note proposes systematic tools to obtain the shape equation and the line condition instead of Christoffel symbols and the complex calculations they entail. The method seems adequate to investigate all problems involving surface energies.
vesicles shape equation surface energy differential geometry of surfaces 74k15 76z99 92c37