The didactic object of these developments on differential geometry of curves and surfaces is to present fine and convenient mathematical strategies, adapted to the study of capillary bridges from experimental data and relatively simple to use in practice. The common thread is to be able to calculate accurately in any situation the bending stress ov...
This rather theoretical study with practical applications for engineers and physicists is essentially based on both the use of the topological notion of the Euler characteristic and the Gauss-Bonnet theorem to establish various analytical formulas concerning firstly the axisymmetric capillary bridges distortions. In differential geometry, the Gauss...
It is well known that the constant mean curvature surfaces, highly studied, are obtained by minimizing the only surface tension energy at fixed volume, the constant corresponding to the Lagrange multiplier. Implicitly, this means that the Gaussian curvature and the total curvature are not taken into account and that therefore, the bending energy is...
