## Fluid lipid membranes: from differential geometry to curvature stresses.

- Markus Deserno
- Chemistry and physics of lipids
- 2015

Axially symmetric equilibrium configurations of the conformally invariant Willmore energy are shown to satisfy an equation that is two orders lower in derivatives of the embedding functions than the equilibrium shape equation, not one as would be expected on the basis of axial symmetry. Modulo a translation along the axis, this equation involves a single… (More)